* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 256 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (458 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 1.0) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ 1.0 alpha) (+ 2 alpha)) into (/ (+ 1.0 alpha) (+ 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ (+ beta 1.0) (+ beta 2)) into (/ (+ beta 1.0) (+ beta 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ (+ beta 1.0) (+ beta 2)) into (/ (+ beta 1.0) (+ beta 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ beta 1.0) (+ beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ 1.0 2) into 0.5
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 1 beta) into (+ beta 1)
* [misc]backup-simplify:  Simplify (+ (+ beta 1) 0) into (+ beta 1)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ (+ beta 1) (+ beta 2)) (+ (* (/ (+ beta 1.0) (+ beta 2)) (/ 1 (+ beta 2))))) into (- (+ (/ beta (+ beta 2)) (/ 1 (+ beta 2))) (+ (* 1.0 (/ 1 (pow (+ beta 2) 2))) (/ beta (pow (+ beta 2) 2))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ beta (+ beta 2)) (/ 1 (+ beta 2))) (+ (* 1.0 (/ 1 (pow (+ beta 2) 2))) (/ beta (pow (+ beta 2) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (+ beta 2)) (/ 1 (+ beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (pow (+ beta 2) 2))) (/ beta (pow (+ beta 2) 2))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (pow (+ beta 2) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ beta 2) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]taylor:  Taking taylor expansion of (/ beta (pow (+ beta 2) 2)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]backup-simplify:  Simplify (+ 0 1/2) into 1/2
* [misc]backup-simplify:  Simplify (* 1.0 1/4) into 0.25
* [misc]backup-simplify:  Simplify (+ 0.25 0) into 0.25
* [misc]backup-simplify:  Simplify (- 0.25) into (- 0.25)
* [misc]backup-simplify:  Simplify (+ 1/2 (- 0.25)) into 0.25
* [misc]backup-simplify:  Simplify 0.25 into 0.25
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* 0.5 (/ 1 2)))) into 0.25
* [misc]backup-simplify:  Simplify 0.25 into 0.25
* [misc]backup-simplify:  Simplify (+ (* 0.25 (* beta 1)) (+ (* 0.25 (* 1 alpha)) 0.5)) into (+ (* 0.25 alpha) (+ (* 0.25 beta) 0.5))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 alpha)) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 alpha) 1) 0) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 alpha) 1) 1) into (+ (/ 1 alpha) 1)
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 1) 0) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 1) 0) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1) 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 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 1.0) into (+ (/ 1 beta) 1.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) 1.0) 1) (+ (* (+ (/ 1 beta) 1) (/ (+ (/ 1 beta) 2) 1)))) into (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 beta)) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 beta)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [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 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 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 (- (+ (* 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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ (/ 1 beta) 1) (/ 0 1)) (* (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 beta)) 1.0))) (/ (+ (/ 1 beta) 2) 1)))) into (+ (/ 1 (pow beta 3)) (+ (* 4 (/ 1 (pow beta 2))) (+ (* 5.0 (/ 1 beta)) 2.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow beta 3)) (+ (* 4 (/ 1 (pow beta 2))) (+ (* 5.0 (/ 1 beta)) 2.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ 1 (pow beta 2))) (+ (* 5.0 (/ 1 beta)) 2.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* 4 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 5.0 (/ 1 beta)) 2.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 5.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 5.0 in beta
* [misc]backup-simplify:  Simplify 5.0 into 5.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 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 beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (+ (* 2.0 (pow (* 1 (/ 1 alpha)) 2)) (+ (* (- 1.0) (* 1 (/ 1 alpha))) 1)) into (- (+ (* 2.0 (/ 1 (pow alpha 2))) 1) (* 1.0 (/ 1 alpha)))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 alpha)) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha) 1) 0) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) 1) -1) into (* -1 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* -1 (- (/ 1 beta) 1)) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) 1) 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 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 -1) (* 0 1)) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 0) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 1.0) into (- 1.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (- 1.0 (/ 1 beta)) -1) (+ (* (* -1 (- (/ 1 beta) 1)) (/ (- 2 (/ 1 beta)) -1)))) into (- (+ (/ 1 (pow beta 2)) 1.0) (* 2 (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (pow beta 2)) 1.0) (* 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow beta 2)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [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) (+ (* 0 -1) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) 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 (+ (* (/ -1 beta) 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 (- 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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (- (/ 1 beta) 1)) (/ 0 -1)) (* (- (+ (/ 1 (pow beta 2)) 1.0) (* 2 (/ 1 beta))) (/ (- 2 (/ 1 beta)) -1)))) into (- (+ (* 4 (/ 1 (pow beta 2))) 2.0) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (/ 1 (pow beta 2))) 2.0) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ 1 (pow beta 2))) 2.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 4 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of (* 5.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 5.0 in beta
* [misc]backup-simplify:  Simplify 5.0 into 5.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 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 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (+ (* 2.0 (pow (* 1 (/ 1 (- alpha))) 2)) (+ (* 1.0 (* 1 (/ 1 (- alpha)))) 1)) into (- (+ (* 2.0 (/ 1 (pow alpha 2))) 1) (* 1.0 (/ 1 alpha)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 1.0) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ 1.0 alpha) (+ 2 alpha)) into (/ (+ 1.0 alpha) (+ 2 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (/ (/ (+ 1.0 alpha) (+ 2 alpha)) (+ 2 alpha)) into (/ (+ 1.0 alpha) (pow (+ 2 alpha) 2))
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* 2 1)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (+ (+ 2 alpha) 1.0) into (+ 3.0 alpha)
* [misc]backup-simplify:  Simplify (/ (/ (+ 1.0 alpha) (pow (+ 2 alpha) 2)) (+ 3.0 alpha)) into (/ (+ 1.0 alpha) (* (pow (+ 2 alpha) 2) (+ 3.0 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ (+ beta 1.0) (+ beta 2)) into (/ (+ beta 1.0) (+ beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ (/ (+ beta 1.0) (+ beta 2)) (+ beta 2)) into (/ (+ beta 1.0) (pow (+ beta 2) 2))
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (+ (+ beta 2) 1.0) into (+ beta 3.0)
* [misc]backup-simplify:  Simplify (/ (/ (+ beta 1.0) (pow (+ beta 2) 2)) (+ beta 3.0)) into (/ (+ beta 1.0) (* (pow (+ beta 2) 2) (+ beta 3.0)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ (+ beta 1.0) (+ beta 2)) into (/ (+ beta 1.0) (+ beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ (/ (+ beta 1.0) (+ beta 2)) (+ beta 2)) into (/ (+ beta 1.0) (pow (+ beta 2) 2))
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (+ (+ beta 2) 1.0) into (+ beta 3.0)
* [misc]backup-simplify:  Simplify (/ (/ (+ beta 1.0) (pow (+ beta 2) 2)) (+ beta 3.0)) into (/ (+ beta 1.0) (* (pow (+ beta 2) 2) (+ beta 3.0)))
* [misc]taylor:  Taking taylor expansion of (/ (+ beta 1.0) (* (pow (+ beta 2) 2) (+ beta 3.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 2) (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* 4 3.0) into 12.0
* [misc]backup-simplify:  Simplify (/ 1.0 12.0) into 0.08333333333333333
* [misc]backup-simplify:  Simplify 0.08333333333333333 into 0.08333333333333333
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 1 beta) into (+ beta 1)
* [misc]backup-simplify:  Simplify (+ (+ beta 1) 0) into (+ beta 1)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ (+ beta 1) (+ beta 2)) (+ (* (/ (+ beta 1.0) (+ beta 2)) (/ 1 (+ beta 2))))) into (- (+ (/ beta (+ beta 2)) (/ 1 (+ beta 2))) (+ (* 1.0 (/ 1 (pow (+ beta 2) 2))) (/ beta (pow (+ beta 2) 2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ beta (+ beta 2)) (/ 1 (+ beta 2))) (+ (* 1.0 (/ 1 (pow (+ beta 2) 2))) (/ beta (pow (+ beta 2) 2)))) (+ beta 2)) (+ (* (/ (+ beta 1.0) (pow (+ beta 2) 2)) (/ 1 (+ beta 2))))) into (- (+ (/ 1 (pow (+ beta 2) 2)) (/ beta (pow (+ beta 2) 2))) (+ (* 2.0 (/ 1 (pow (+ beta 2) 3))) (* 2 (/ beta (pow (+ beta 2) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 (pow (+ beta 2) 2)) (/ beta (pow (+ beta 2) 2))) (+ (* 2.0 (/ 1 (pow (+ beta 2) 3))) (* 2 (/ beta (pow (+ beta 2) 3))))) (+ beta 3.0)) (+ (* (/ (+ beta 1.0) (* (pow (+ beta 2) 2) (+ beta 3.0))) (/ 1 (+ beta 3.0))))) into (- (+ (/ beta (* (pow (+ beta 2) 2) (+ beta 3.0))) (/ 1 (* (pow (+ beta 2) 2) (+ beta 3.0)))) (+ (* 2 (/ beta (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ beta (* (pow (+ beta 2) 2) (+ beta 3.0))) (/ 1 (* (pow (+ beta 2) 2) (+ beta 3.0)))) (+ (* 2 (/ beta (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (* (pow (+ beta 2) 2) (+ beta 3.0))) (/ 1 (* (pow (+ beta 2) 2) (+ beta 3.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (* (pow (+ beta 2) 2) (+ beta 3.0))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 2) (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* 4 3.0) into 12.0
* [misc]backup-simplify:  Simplify (/ 1 12.0) into 0.08333333333333333
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ beta 2) 2) (+ beta 3.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 2) (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* 4 3.0) into 12.0
* [misc]backup-simplify:  Simplify (/ 1 12.0) into 0.08333333333333333
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ beta (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ beta (* (pow (+ beta 2) 3) (+ beta 3.0)))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ beta (* (pow (+ beta 2) 3) (+ beta 3.0))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 3) (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 2 4) into 8
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* 8 3.0) into 24.0
* [misc]backup-simplify:  Simplify (/ 1 24.0) into 0.041666666666666664
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 3.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 3.0 3.0) into 9.0
* [misc]backup-simplify:  Simplify (* 4 9.0) into 36.0
* [misc]backup-simplify:  Simplify (/ 1 36.0) into 0.027777777777777776
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 3.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 3.0 3.0) into 9.0
* [misc]backup-simplify:  Simplify (* 4 9.0) into 36.0
* [misc]backup-simplify:  Simplify (/ 1 36.0) into 0.027777777777777776
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))) in beta
* [misc]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 (* (pow (+ beta 2) 3) (+ beta 3.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 3) (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 2 4) into 8
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* 8 3.0) into 24.0
* [misc]backup-simplify:  Simplify (/ 1 24.0) into 0.041666666666666664
* [misc]backup-simplify:  Simplify (+ 0 0.08333333333333333) into 0.08333333333333333
* [misc]backup-simplify:  Simplify (* 1.0 0.027777777777777776) into 0.027777777777777776
* [misc]backup-simplify:  Simplify (* 2.0 0.041666666666666664) into 0.08333333333333333
* [misc]backup-simplify:  Simplify (+ 0 0.08333333333333333) into 0.08333333333333333
* [misc]backup-simplify:  Simplify (+ 0.027777777777777776 0.08333333333333333) into 0.1111111111111111
* [misc]backup-simplify:  Simplify (+ 0 0.1111111111111111) into 0.1111111111111111
* [misc]backup-simplify:  Simplify (- 0.1111111111111111) into (- 0.1111111111111111)
* [misc]backup-simplify:  Simplify (+ 0.08333333333333333 (- 0.1111111111111111)) into (- 0.027777777777777776)
* [misc]backup-simplify:  Simplify (- 0.027777777777777776) into (- 0.027777777777777776)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 1 2)) into 4
* [misc]backup-simplify:  Simplify (+ (* 4 1) (* 4 3.0)) into 16.0
* [misc]backup-simplify:  Simplify (- (/ 1 12.0) (+ (* 0.08333333333333333 (/ 16.0 12.0)))) into (- 0.027777777777777776)
* [misc]backup-simplify:  Simplify (- 0.027777777777777776) into (- 0.027777777777777776)
* [misc]backup-simplify:  Simplify (+ (* (- 0.027777777777777776) (* beta 1)) (+ (* (- 0.027777777777777776) (* 1 alpha)) 0.08333333333333333)) into (- 0.08333333333333333 (+ (* 0.027777777777777776 alpha) (* 0.027777777777777776 beta)))
* [misc]approximate:  Taking taylor expansion of (/ (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0)) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 alpha)) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 alpha) 1) 0) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 alpha) 1) 1) into (+ (/ 1 alpha) 1)
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [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 alpha) 1) 1) into (+ (/ 1 alpha) 1)
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [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 alpha) 1) 1) into (+ (/ 1 alpha) 1)
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 1) 0) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 1) 0) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1) 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 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 1.0) into (+ (/ 1 beta) 1.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) 1.0) 1) (+ (* (+ (/ 1 beta) 1) (/ (+ (/ 1 beta) 2) 1)))) into (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 beta)) 1.0))) 1) (+ (* (+ (/ 1 beta) 1) (/ (+ (/ 1 beta) 2) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 beta)) 3.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 2) 1.0) into (+ (/ 1 beta) 3.0)
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 beta)) 3.0))) 1) (+ (* (+ (/ 1 beta) 1) (/ (+ (/ 1 beta) 3.0) 1)))) into (- (+ (* 3 (/ 1 (pow beta 2))) (+ (* 9.0 (/ 1 beta)) 6.0)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 3 (/ 1 (pow beta 2))) (+ (* 9.0 (/ 1 beta)) 6.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (pow beta 2))) (+ (* 9.0 (/ 1 beta)) 6.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 9.0 (/ 1 beta)) 6.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 9.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 9.0 in beta
* [misc]backup-simplify:  Simplify 9.0 into 9.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 6.0 in beta
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 9.0 0) (+ (* 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 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 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 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 (- (+ (* 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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ (/ 1 beta) 1) (/ 0 1)) (* (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 beta)) 1.0))) (/ (+ (/ 1 beta) 2) 1)))) into (+ (/ 1 (pow beta 3)) (+ (* 4 (/ 1 (pow beta 2))) (+ (* 5.0 (/ 1 beta)) 2.0)))
* [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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (pow beta 3)) (+ (* 4 (/ 1 (pow beta 2))) (+ (* 5.0 (/ 1 beta)) 2.0))) 1) (+ (* (+ (/ 1 beta) 1) (/ 0 1)) (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 beta)) 3.0))) (/ (+ (/ 1 beta) 2) 1)))) into (+ (* 3 (/ 1 (pow beta 3))) (+ (* 13 (/ 1 (pow beta 2))) (+ (* 18.0 (/ 1 beta)) 8.0)))
* [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 (+ (* 2 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 (- (/ (+ (* 3 (/ 1 (pow beta 3))) (+ (* 13 (/ 1 (pow beta 2))) (+ (* 18.0 (/ 1 beta)) 8.0))) 1) (+ (* (+ (/ 1 beta) 1) (/ 0 1)) (* (- (+ (* 3 (/ 1 (pow beta 2))) (+ (* 9.0 (/ 1 beta)) 6.0))) (/ (+ (/ 1 beta) 3.0) 1)))) into (+ (* 6 (/ 1 (pow beta 3))) (+ (* 31.0 (/ 1 (pow beta 2))) (+ (* 51.0 (/ 1 beta)) 26.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (pow beta 3))) (+ (* 31.0 (/ 1 (pow beta 2))) (+ (* 51.0 (/ 1 beta)) 26.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of 6 in beta
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 31.0 (/ 1 (pow beta 2))) (+ (* 51.0 (/ 1 beta)) 26.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* 31.0 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 31.0 in beta
* [misc]backup-simplify:  Simplify 31.0 into 31.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 51.0 (/ 1 beta)) 26.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 51.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 51.0 in beta
* [misc]backup-simplify:  Simplify 51.0 into 51.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 26.0 in beta
* [misc]backup-simplify:  Simplify 26.0 into 26.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* 31.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 51.0 0) (+ (* 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 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* 9.0 0) (+ (* 0 0) (+ (* 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 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0)) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 alpha)) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha) 1) 0) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) 1) -1) into (* -1 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (* -1 (- (/ 1 alpha) 1)) -1) into (- (/ 1 alpha) 1)
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [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 alpha) 1) -1) into (* -1 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (* -1 (- (/ 1 beta) 1)) -1) into (- (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (* -1 (- (/ 1 beta) 1)) -1) into (- (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* -1 (- (/ 1 beta) 1)) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) 1) 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 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [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 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) 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 (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 0) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 1.0) into (- 1.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (- 1.0 (/ 1 beta)) -1) (+ (* (* -1 (- (/ 1 beta) 1)) (/ (- 2 (/ 1 beta)) -1)))) into (- (+ (/ 1 (pow beta 2)) 1.0) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 (pow beta 2)) 1.0) (* 2 (/ 1 beta))) -1) (+ (* (- (/ 1 beta) 1) (/ (- 2 (/ 1 beta)) -1)))) into (- (* 5 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) 3.0))
* [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 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (- 2 (/ 1 beta)) 1.0) into (- 3.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (- (* 5 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) 3.0)) -1) (+ (* (* -1 (- (/ 1 beta) 1)) (/ (- 3.0 (/ 1 beta)) -1)))) into (- (+ (* 3 (/ 1 (pow beta 2))) 6.0) (* 9.0 (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 3 (/ 1 (pow beta 2))) 6.0) (* 9.0 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (pow beta 2))) 6.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 6.0 in beta
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (* 9.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 9.0 in beta
* [misc]backup-simplify:  Simplify 9.0 into 9.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 9.0 0) (+ (* 0 0) (+ (* 0 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 (- (+ (* 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) 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 (+ (* (/ -1 beta) 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 (- 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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (- (/ 1 beta) 1)) (/ 0 -1)) (* (- (+ (/ 1 (pow beta 2)) 1.0) (* 2 (/ 1 beta))) (/ (- 2 (/ 1 beta)) -1)))) into (- (+ (* 4 (/ 1 (pow beta 2))) 2.0) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) 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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 4 (/ 1 (pow beta 2))) 2.0) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3)))) -1) (+ (* (- (/ 1 beta) 1) (/ 0 -1)) (* (- (* 5 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) 3.0)) (/ (- 2 (/ 1 beta)) -1)))) into (- (+ (* 3 (/ 1 (pow beta 3))) (* 18.0 (/ 1 beta))) (+ (* 13 (/ 1 (pow beta 2))) 8.0))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 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 (- (/ (- (+ (* 3 (/ 1 (pow beta 3))) (* 18.0 (/ 1 beta))) (+ (* 13 (/ 1 (pow beta 2))) 8.0)) -1) (+ (* (* -1 (- (/ 1 beta) 1)) (/ 0 -1)) (* (- (+ (* 3 (/ 1 (pow beta 2))) 6.0) (* 9.0 (/ 1 beta))) (/ (- 3.0 (/ 1 beta)) -1)))) into (- (+ (* 31.0 (/ 1 (pow beta 2))) 26.0) (+ (* 51.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 31.0 (/ 1 (pow beta 2))) 26.0) (+ (* 51.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 31.0 (/ 1 (pow beta 2))) 26.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 31.0 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 31.0 in beta
* [misc]backup-simplify:  Simplify 31.0 into 31.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 26.0 in beta
* [misc]backup-simplify:  Simplify 26.0 into 26.0
* [misc]taylor:  Taking taylor expansion of (+ (* 51.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 51.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 51.0 in beta
* [misc]backup-simplify:  Simplify 51.0 into 51.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of 6 in beta
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* 31.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 51.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 9.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 1.0) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ 1.0 alpha) (+ 2 alpha)) into (/ (+ 1.0 alpha) (+ 2 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (/ (/ (+ 1.0 alpha) (+ 2 alpha)) (+ 2 alpha)) into (/ (+ 1.0 alpha) (pow (+ 2 alpha) 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ (+ beta 1.0) (+ beta 2)) into (/ (+ beta 1.0) (+ beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ (/ (+ beta 1.0) (+ beta 2)) (+ beta 2)) into (/ (+ beta 1.0) (pow (+ beta 2) 2))
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ (+ beta 1.0) (+ beta 2)) into (/ (+ beta 1.0) (+ beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ (/ (+ beta 1.0) (+ beta 2)) (+ beta 2)) into (/ (+ beta 1.0) (pow (+ beta 2) 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ beta 1.0) (pow (+ beta 2) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (/ 1.0 4) into 0.25
* [misc]backup-simplify:  Simplify 0.25 into 0.25
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 1 beta) into (+ beta 1)
* [misc]backup-simplify:  Simplify (+ (+ beta 1) 0) into (+ beta 1)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ (+ beta 1) (+ beta 2)) (+ (* (/ (+ beta 1.0) (+ beta 2)) (/ 1 (+ beta 2))))) into (- (+ (/ beta (+ beta 2)) (/ 1 (+ beta 2))) (+ (* 1.0 (/ 1 (pow (+ beta 2) 2))) (/ beta (pow (+ beta 2) 2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ beta (+ beta 2)) (/ 1 (+ beta 2))) (+ (* 1.0 (/ 1 (pow (+ beta 2) 2))) (/ beta (pow (+ beta 2) 2)))) (+ beta 2)) (+ (* (/ (+ beta 1.0) (pow (+ beta 2) 2)) (/ 1 (+ beta 2))))) into (- (+ (/ 1 (pow (+ beta 2) 2)) (/ beta (pow (+ beta 2) 2))) (+ (* 2.0 (/ 1 (pow (+ beta 2) 3))) (* 2 (/ beta (pow (+ beta 2) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (pow (+ beta 2) 2)) (/ beta (pow (+ beta 2) 2))) (+ (* 2.0 (/ 1 (pow (+ beta 2) 3))) (* 2 (/ beta (pow (+ beta 2) 3))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow (+ beta 2) 2)) (/ beta (pow (+ beta 2) 2))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ beta 2) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]taylor:  Taking taylor expansion of (/ beta (pow (+ beta 2) 2)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (pow (+ beta 2) 3))) (* 2 (/ beta (pow (+ beta 2) 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (pow (+ beta 2) 3))) in beta
* [misc]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 (pow (+ beta 2) 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 2 4) into 8
* [misc]backup-simplify:  Simplify (/ 1 8) into 1/8
* [misc]taylor:  Taking taylor expansion of (* 2 (/ beta (pow (+ beta 2) 3))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ beta (pow (+ beta 2) 3)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 2 4) into 8
* [misc]backup-simplify:  Simplify (/ 1 8) into 1/8
* [misc]backup-simplify:  Simplify (+ 1/4 0) into 1/4
* [misc]backup-simplify:  Simplify (* 2.0 1/8) into 0.25
* [misc]backup-simplify:  Simplify (+ 0.25 0) into 0.25
* [misc]backup-simplify:  Simplify (- 0.25) into (- 0.25)
* [misc]backup-simplify:  Simplify (+ 1/4 (- 0.25)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 1 2)) into 4
* [misc]backup-simplify:  Simplify (- (/ 1 4) (+ (* 0.25 (/ 4 4)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 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 (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta 2)) (+ (* (/ (+ beta 1.0) (+ beta 2)) (/ 0 (+ beta 2))) (* (- (+ (/ beta (+ beta 2)) (/ 1 (+ beta 2))) (+ (* 1.0 (/ 1 (pow (+ beta 2) 2))) (/ beta (pow (+ beta 2) 2)))) (/ 1 (+ beta 2))))) into (- (+ (* 1.0 (/ 1 (pow (+ beta 2) 3))) (/ beta (pow (+ beta 2) 3))) (+ (/ 1 (pow (+ beta 2) 2)) (/ beta (pow (+ beta 2) 2))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 1.0 (/ 1 (pow (+ beta 2) 3))) (/ beta (pow (+ beta 2) 3))) (+ (/ 1 (pow (+ beta 2) 2)) (/ beta (pow (+ beta 2) 2)))) (+ beta 2)) (+ (* (/ (+ beta 1.0) (pow (+ beta 2) 2)) (/ 0 (+ beta 2))) (* (- (+ (/ 1 (pow (+ beta 2) 2)) (/ beta (pow (+ beta 2) 2))) (+ (* 2.0 (/ 1 (pow (+ beta 2) 3))) (* 2 (/ beta (pow (+ beta 2) 3))))) (/ 1 (+ beta 2))))) into (- (+ (* 3.0 (/ 1 (pow (+ beta 2) 4))) (* 3 (/ beta (pow (+ beta 2) 4)))) (+ (* 2 (/ 1 (pow (+ beta 2) 3))) (* 2 (/ beta (pow (+ beta 2) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 3.0 (/ 1 (pow (+ beta 2) 4))) (* 3 (/ beta (pow (+ beta 2) 4)))) (+ (* 2 (/ 1 (pow (+ beta 2) 3))) (* 2 (/ beta (pow (+ beta 2) 3))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 3.0 (/ 1 (pow (+ beta 2) 4))) (* 3 (/ beta (pow (+ beta 2) 4)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3.0 (/ 1 (pow (+ beta 2) 4))) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ beta 2) 4)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 4) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 4 4) into 16
* [misc]backup-simplify:  Simplify (/ 1 16) into 1/16
* [misc]taylor:  Taking taylor expansion of (* 3 (/ beta (pow (+ beta 2) 4))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ beta (pow (+ beta 2) 4)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 4) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 4 4) into 16
* [misc]backup-simplify:  Simplify (/ 1 16) into 1/16
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (pow (+ beta 2) 3))) (* 2 (/ beta (pow (+ beta 2) 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow (+ beta 2) 3))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ beta 2) 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 2 4) into 8
* [misc]backup-simplify:  Simplify (/ 1 8) into 1/8
* [misc]taylor:  Taking taylor expansion of (* 2 (/ beta (pow (+ beta 2) 3))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ beta (pow (+ beta 2) 3)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 2 4) into 8
* [misc]backup-simplify:  Simplify (/ 1 8) into 1/8
* [misc]backup-simplify:  Simplify (* 3.0 1/16) into 0.1875
* [misc]backup-simplify:  Simplify (+ 0.1875 0) into 0.1875
* [misc]backup-simplify:  Simplify (* 2 1/8) into 1/4
* [misc]backup-simplify:  Simplify (+ 1/4 0) into 1/4
* [misc]backup-simplify:  Simplify (- 1/4) into -1/4
* [misc]backup-simplify:  Simplify (+ 0.1875 -1/4) into (- 0.0625)
* [misc]backup-simplify:  Simplify (- 0.0625) into (- 0.0625)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 1 2)) into 4
* [misc]backup-simplify:  Simplify (- (+ (* 1/4 (/ 4 4)))) into -1/4
* [misc]backup-simplify:  Simplify (+ -1/4 1/4) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 1 2)) into 4
* [misc]backup-simplify:  Simplify (+ (* 2 4) (* 1 4)) into 12
* [misc]backup-simplify:  Simplify (- (+ (* 1/8 (/ 12 8)))) into -3/16
* [misc]backup-simplify:  Simplify (+ (* 2.0 -3/16) (* 0 1/8)) into (- 0.375)
* [misc]backup-simplify:  Simplify (* 2 1/8) into 1/4
* [misc]backup-simplify:  Simplify (+ (- 0.375) 1/4) into (- 0.125)
* [misc]backup-simplify:  Simplify (- (- 0.125)) into 0.125
* [misc]backup-simplify:  Simplify (+ 0 0.125) into 0.125
* [misc]backup-simplify:  Simplify 0.125 into 0.125
* [misc]backup-simplify:  Simplify (+ (* 0.125 (* beta alpha)) (+ (* (- 0.0625) (pow (* 1 alpha) 2)) 0.25)) into (- (+ 0.25 (* 0.125 (* beta alpha))) (* 0.0625 (pow alpha 2)))
* [misc]approximate:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 alpha)) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 alpha) 1) 0) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 alpha) 1) 1) into (+ (/ 1 alpha) 1)
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [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 alpha) 1) 1) into (+ (/ 1 alpha) 1)
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 1) 0) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 1) 0) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1) 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 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [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 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 1.0) into (+ (/ 1 beta) 1.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) 1.0) 1) (+ (* (+ (/ 1 beta) 1) (/ (+ (/ 1 beta) 2) 1)))) into (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 beta)) 1.0))) 1) (+ (* (+ (/ 1 beta) 1) (/ (+ (/ 1 beta) 2) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 beta)) 3.0)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 beta)) 3.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 beta)) 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 5 (/ 1 beta)) 3.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 5 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 5 in beta
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (+ (* 5 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 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 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 (- (+ (* 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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ (/ 1 beta) 1) (/ 0 1)) (* (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 beta)) 1.0))) (/ (+ (/ 1 beta) 2) 1)))) into (+ (/ 1 (pow beta 3)) (+ (* 4 (/ 1 (pow beta 2))) (+ (* 5.0 (/ 1 beta)) 2.0)))
* [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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (pow beta 3)) (+ (* 4 (/ 1 (pow beta 2))) (+ (* 5.0 (/ 1 beta)) 2.0))) 1) (+ (* (+ (/ 1 beta) 1) (/ 0 1)) (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 beta)) 3.0))) (/ (+ (/ 1 beta) 2) 1)))) into (+ (* 3 (/ 1 (pow beta 3))) (+ (* 13 (/ 1 (pow beta 2))) (+ (* 18.0 (/ 1 beta)) 8.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (pow beta 3))) (+ (* 13 (/ 1 (pow beta 2))) (+ (* 18.0 (/ 1 beta)) 8.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 13 (/ 1 (pow beta 2))) (+ (* 18.0 (/ 1 beta)) 8.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* 13 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 13 in beta
* [misc]backup-simplify:  Simplify 13 into 13
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 18.0 (/ 1 beta)) 8.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 18.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 18.0 in beta
* [misc]backup-simplify:  Simplify 18.0 into 18.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 8.0 in beta
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* 13 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (+ (* 18.0 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 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (+ (* 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 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 alpha)) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha) 1) 0) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) 1) -1) into (* -1 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (* -1 (- (/ 1 alpha) 1)) -1) into (- (/ 1 alpha) 1)
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (* -1 (- (/ 1 beta) 1)) -1) into (- (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (* -1 (- (/ 1 beta) 1)) -1) into (- (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) 1) 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 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [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) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 0) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 1.0) into (- 1.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (- 1.0 (/ 1 beta)) -1) (+ (* (* -1 (- (/ 1 beta) 1)) (/ (- 2 (/ 1 beta)) -1)))) into (- (+ (/ 1 (pow beta 2)) 1.0) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 (pow beta 2)) 1.0) (* 2 (/ 1 beta))) -1) (+ (* (- (/ 1 beta) 1) (/ (- 2 (/ 1 beta)) -1)))) into (- (* 5 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) 3.0))
* [misc]taylor:  Taking taylor expansion of (- (* 5 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* 5 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 5 in beta
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 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 (/ 1 (pow beta 2))) 3.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [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 (+ (* 5 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 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 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 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) 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 (+ (* (/ -1 beta) 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 (- 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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (- (/ 1 beta) 1)) (/ 0 -1)) (* (- (+ (/ 1 (pow beta 2)) 1.0) (* 2 (/ 1 beta))) (/ (- 2 (/ 1 beta)) -1)))) into (- (+ (* 4 (/ 1 (pow beta 2))) 2.0) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) 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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 4 (/ 1 (pow beta 2))) 2.0) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3)))) -1) (+ (* (- (/ 1 beta) 1) (/ 0 -1)) (* (- (* 5 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) 3.0)) (/ (- 2 (/ 1 beta)) -1)))) into (- (+ (* 3 (/ 1 (pow beta 3))) (* 18.0 (/ 1 beta))) (+ (* 13 (/ 1 (pow beta 2))) 8.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 3 (/ 1 (pow beta 3))) (* 18.0 (/ 1 beta))) (+ (* 13 (/ 1 (pow beta 2))) 8.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (pow beta 3))) (* 18.0 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 18.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 18.0 in beta
* [misc]backup-simplify:  Simplify 18.0 into 18.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 13 (/ 1 (pow beta 2))) 8.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 13 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 13 in beta
* [misc]backup-simplify:  Simplify 13 into 13
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 8.0 in beta
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) 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 (+ (* 18.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* 13 0) (+ (* 0 0) (+ (* 0 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 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (+ (+ (+ alpha beta) (* 2 1)) 1.0) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* 2 1)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (+ (+ beta 2) 1.0) into (+ beta 3.0)
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (* beta 1)) (+ (* 1 (* 1 alpha)) 3.0)) into (+ alpha (+ beta 3.0))
* [misc]approximate:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [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 (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 2) 1.0) into (+ (/ 1 beta) 3.0)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 3.0) 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 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 1 0) 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)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 3.0 (+ (* 1 (* 1 (/ 1 (/ 1 alpha)))) (* 1 (* (/ 1 (/ 1 beta)) 1)))) into (+ beta (+ 3.0 alpha))
* [misc]approximate:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (- 2 (/ 1 beta)) 1.0) into (- 3.0 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (- 3.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify -1 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 (- 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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 3.0 0) into 3.0
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 3.0 (+ (* -1 (* 1 (/ 1 (/ 1 (- alpha))))) (* -1 (* (/ 1 (/ 1 (- beta))) 1)))) into (+ beta (+ 3.0 alpha))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (log1p (expm1 (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 2 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (expm1 (log1p (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 3 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (pow (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 4 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (exp (- (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (146 enodes)
* [exit]simplify:  Simplified to (- (log (+ (+ beta 1.0) (fma beta alpha alpha))) (log (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (exp (- (log (+ (+ beta 1.0) (fma beta alpha alpha))) (log (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 5 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (exp (log (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 6 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (log (exp (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 7 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (cbrt (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (324 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ (+ 2 beta) alpha)) 3)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (cbrt (pow (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ (+ 2 beta) alpha)) 3)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 8 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 9 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (cbrt (* (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 10 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 11 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (- (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (- (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 12 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (169 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 13 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta 1.0) (fma alpha beta alpha))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (cbrt (+ (+ beta 1.0) (fma alpha beta alpha))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ beta 1.0) (fma alpha beta alpha))))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (cbrt (+ (+ beta 1.0) (fma alpha beta alpha))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ beta 1.0) (fma alpha beta alpha))))) (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 14 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (/ (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 15 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (147 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 16 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))) (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 17 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 18 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (cbrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 19 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 20 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ 1 1) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* 1 (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ (+ 2 beta) alpha))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* 1 (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ (+ 2 beta) alpha))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 21 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* 1 (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 22 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 23 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ 1 (/ (+ (+ alpha beta) (* 2 1)) (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 24 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (cbrt (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 25 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 26 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ alpha beta) (* 2 1))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (+ (+ 2 alpha) beta)
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (+ (+ 2 alpha) beta)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 27 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (/ (+ (+ alpha beta) (* 2 1)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (/ (+ (+ alpha beta) (* 2 1)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 28 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (/ (+ (+ alpha beta) (* 2 1)) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (/ (+ (+ alpha beta) (* 2 1)) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 29 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ 1 (/ (+ (+ alpha beta) (* 2 1)) (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 30 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 31 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (- (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (+ alpha beta) (* 2 1))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (27 enodes)
* [exit]simplify:  Simplified to (- beta (- 2 alpha))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (- beta (- 2 alpha))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 32 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (pow (+ (+ alpha beta) (* beta alpha)) 3) (pow 1.0 3)) (* (+ (+ alpha beta) (* 2 1)) (+ (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* beta alpha)) 1.0))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (+ (pow (+ (+ alpha beta) (* beta alpha)) 3) (pow 1.0 3))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (366 enodes)
* [exit]simplify:  Simplified to (fma (* (+ (fma beta alpha beta) alpha) (+ (fma beta alpha beta) alpha)) (+ (fma beta alpha beta) alpha) (pow 1.0 3))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (fma (* (+ (fma beta alpha beta) alpha) (+ (fma beta alpha beta) alpha)) (+ (fma beta alpha beta) alpha) (pow 1.0 3)) (* (+ (+ alpha beta) (* 2 1)) (+ (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* beta alpha)) 1.0))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 33 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (- (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (* 1.0 1.0)) (* (+ (+ alpha beta) (* 2 1)) (- (+ (+ alpha beta) (* beta alpha)) 1.0))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (* 1.0 1.0))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (476 enodes)
* [exit]simplify:  Simplified to (fma (+ (fma beta alpha alpha) beta) (+ (fma beta alpha alpha) beta) (* 1.0 (- 1.0)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (fma (+ (fma beta alpha alpha) beta) (+ (fma beta alpha alpha) beta) (* 1.0 (- 1.0))) (* (+ (+ alpha beta) (* 2 1)) (- (+ (+ alpha beta) (* beta alpha)) 1.0))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 34 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (log1p (expm1 (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 35 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (expm1 (log1p (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 36 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (pow (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) 1))>
* * * * [misc]progress:  [ 37 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (exp (- (- (- (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (- (- (- (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* * [misc]simplify:  iters left: 2 (428 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (fma alpha beta beta) (+ 1.0 alpha))) (log (+ (+ beta 2) alpha))) (+ (log (+ (+ beta alpha) (+ 1.0 2))) (log (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (exp (- (- (log (+ (fma alpha beta beta) (+ 1.0 alpha))) (log (+ (+ beta 2) alpha))) (+ (log (+ (+ beta alpha) (+ 1.0 2))) (log (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 38 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (exp (- (- (log (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (- (- (log (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (209 enodes)
* * [misc]simplify:  iters left: 2 (414 enodes)
* [exit]simplify:  Simplified to (- (log (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ beta (+ alpha 2)))) (+ (log (+ beta (+ alpha 2))) (log (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (exp (- (log (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ beta (+ alpha 2)))) (+ (log (+ beta (+ alpha 2))) (log (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 39 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (exp (- (log (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (- (log (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (279 enodes)
* [exit]simplify:  Simplified to (- (log (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ alpha 2) beta))) (+ (log (+ (+ beta 1.0) (+ alpha 2))) (log (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (exp (- (log (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ alpha 2) beta))) (+ (log (+ (+ beta 1.0) (+ alpha 2))) (log (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 40 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (exp (log (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 41 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (log (exp (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 42 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (cbrt (/ (/ (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (91 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (+ (+ beta alpha) (fma alpha beta 1.0)) 3) (pow (+ (+ 2 beta) alpha) 3)) (* (pow (+ (+ 2 beta) alpha) 3) (pow (+ (+ 1.0 alpha) (+ 2 beta)) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (cbrt (/ (/ (pow (+ (+ beta alpha) (fma alpha beta 1.0)) 3) (pow (+ (+ 2 beta) alpha) 3)) (* (pow (+ (+ 2 beta) alpha) 3) (pow (+ (+ 1.0 alpha) (+ 2 beta)) 3)))))
* * * * [misc]progress:  [ 43 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (cbrt (/ (/ (* (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (81 enodes)
* * [misc]simplify:  iters left: 4 (461 enodes)
* [exit]simplify:  Simplified to (/ (pow (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ (+ alpha 2) beta)) 3) (* (pow (+ (+ alpha 2) beta) 3) (pow (+ (+ 2 beta) (+ 1.0 alpha)) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (cbrt (/ (pow (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ (+ alpha 2) beta)) 3) (* (pow (+ (+ alpha 2) beta) 3) (pow (+ (+ 2 beta) (+ 1.0 alpha)) 3)))))
* * * * [misc]progress:  [ 44 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (cbrt (/ (* (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (287 enodes)
* [exit]simplify:  Simplified to (pow (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ alpha (+ 2 beta))) (* (+ alpha (+ 2 beta)) (+ (+ 1.0 2) (+ beta alpha)))) 3)
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (cbrt (pow (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ alpha (+ 2 beta))) (* (+ alpha (+ 2 beta)) (+ (+ 1.0 2) (+ beta alpha)))) 3)))
* * * * [misc]progress:  [ 45 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (cbrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (cbrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (cbrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 46 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (cbrt (* (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 47 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (sqrt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 48 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (- (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (- (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* * * * [misc]progress:  [ 49 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (262 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (247 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (cbrt (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* * * * [misc]progress:  [ 50 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (248 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (cbrt (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))))) (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (247 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (cbrt (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))))) (/ (cbrt (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* * * * [misc]progress:  [ 51 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) 1) (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (231 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha))) (cbrt (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha))) (cbrt (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha)))) (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (243 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha))) (+ (+ 1.0 alpha) (+ 2 beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha))) (cbrt (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha)))) (/ (cbrt (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha))) (+ (+ 1.0 alpha) (+ 2 beta)))))
* * * * [misc]progress:  [ 52 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (245 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (247 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (sqrt (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* * * * [misc]progress:  [ 53 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (247 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (247 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (sqrt (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* * * * [misc]progress:  [ 54 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) 1) (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (215 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ beta (+ alpha 2))) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ beta (+ alpha 2))) (+ beta (+ alpha 2)))) (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (243 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha))) (+ (+ 1.0 alpha) (+ 2 beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ beta (+ alpha 2))) (+ beta (+ alpha 2)))) (/ (sqrt (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha))) (+ (+ 1.0 alpha) (+ 2 beta)))))
* * * * [misc]progress:  [ 55 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (389 enodes)
* * [misc]simplify:  iters left: 1 (478 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))) (/ (cbrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 56 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (259 enodes)
* * [misc]simplify:  iters left: 1 (303 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ alpha (+ 2 beta)))) (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ alpha (+ 2 beta))))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ alpha (+ 2 beta)))) (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ alpha (+ 2 beta))))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ alpha (+ 2 beta)))) (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ alpha (+ 2 beta))))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))) (/ (cbrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 57 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (377 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (177 enodes)
* * [misc]simplify:  iters left: 2 (317 enodes)
* * [misc]simplify:  iters left: 1 (450 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ alpha 2) (+ beta 1.0))))))
* * * * [misc]progress:  [ 58 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (182 enodes)
* * [misc]simplify:  iters left: 2 (258 enodes)
* * [misc]simplify:  iters left: 1 (305 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ (+ (+ beta 1.0) (fma alpha beta alpha)) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ alpha 2) beta)) (cbrt (/ (+ (+ beta 1.0) (fma alpha beta alpha)) (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ beta 1.0) (fma alpha beta alpha)) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ alpha 2) beta)) (cbrt (/ (+ (+ beta 1.0) (fma alpha beta alpha)) (+ (+ alpha 2) beta))))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (/ (+ (+ beta 1.0) (fma alpha beta alpha)) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ alpha 2) beta)) (cbrt (/ (+ (+ beta 1.0) (fma alpha beta alpha)) (+ (+ alpha 2) beta))))) (/ (cbrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 59 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (199 enodes)
* * [misc]simplify:  iters left: 1 (228 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ beta (+ alpha 2))))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ beta (+ alpha 2))))) (/ (cbrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 60 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (268 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ beta (+ alpha 2)))) (/ (sqrt (+ beta (+ alpha 2))) (cbrt (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (cbrt (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ beta (+ alpha 2)))) (/ (sqrt (+ beta (+ alpha 2))) (cbrt (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ beta (+ alpha 2)))))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (177 enodes)
* * [misc]simplify:  iters left: 2 (317 enodes)
* * [misc]simplify:  iters left: 1 (450 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (cbrt (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ beta (+ alpha 2)))) (/ (sqrt (+ beta (+ alpha 2))) (cbrt (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ beta (+ alpha 2)))))) (/ (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ alpha 2) (+ beta 1.0))))))
* * * * [misc]progress:  [ 61 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (200 enodes)
* * [misc]simplify:  iters left: 2 (361 enodes)
* * [misc]simplify:  iters left: 1 (416 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (181 enodes)
* * [misc]simplify:  iters left: 2 (242 enodes)
* * [misc]simplify:  iters left: 1 (273 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))))
* * * * [misc]progress:  [ 62 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* * [misc]simplify:  iters left: 1 (398 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha)))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (181 enodes)
* * [misc]simplify:  iters left: 2 (242 enodes)
* * [misc]simplify:  iters left: 1 (273 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha)))) (/ (cbrt (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))))
* * * * [misc]progress:  [ 63 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) 1) 1) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) 1) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (134 enodes)
* * [misc]simplify:  iters left: 1 (160 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (fma alpha beta beta) (+ alpha 1.0)) (+ (+ 2 beta) alpha))) (cbrt (/ (+ (fma alpha beta beta) (+ alpha 1.0)) (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (/ (+ (fma alpha beta beta) (+ alpha 1.0)) (+ (+ 2 beta) alpha))) (cbrt (/ (+ (fma alpha beta beta) (+ alpha 1.0)) (+ (+ 2 beta) alpha)))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (381 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ (+ 2 beta) alpha))) (* (+ (+ beta 1.0) (+ alpha 2)) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (/ (+ (fma alpha beta beta) (+ alpha 1.0)) (+ (+ 2 beta) alpha))) (cbrt (/ (+ (fma alpha beta beta) (+ alpha 1.0)) (+ (+ 2 beta) alpha)))) (/ (cbrt (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ (+ 2 beta) alpha))) (* (+ (+ beta 1.0) (+ alpha 2)) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 64 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (160 enodes)
* * [misc]simplify:  iters left: 2 (206 enodes)
* * [misc]simplify:  iters left: 1 (235 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ beta (+ alpha 2)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ beta (+ alpha 2))))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ beta (+ alpha 2)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ beta (+ alpha 2))))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ beta (+ alpha 2)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ beta (+ alpha 2))))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ beta (+ alpha 2))))) (/ (sqrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 65 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (202 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))))) (/ (sqrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 66 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (177 enodes)
* * [misc]simplify:  iters left: 2 (317 enodes)
* * [misc]simplify:  iters left: 1 (450 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ alpha 2) (+ beta 1.0))))))
* * * * [misc]progress:  [ 67 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha))) (* (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 68 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (sqrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 69 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (154 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma alpha beta beta) (+ alpha 1.0)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (fma alpha beta beta) (+ alpha 1.0)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (177 enodes)
* * [misc]simplify:  iters left: 2 (317 enodes)
* * [misc]simplify:  iters left: 1 (450 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (fma alpha beta beta) (+ alpha 1.0)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))) (/ (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ alpha 2) (+ beta 1.0))))))
* * * * [misc]progress:  [ 70 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (150 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (213 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (181 enodes)
* * [misc]simplify:  iters left: 2 (242 enodes)
* * [misc]simplify:  iters left: 1 (273 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (sqrt (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))))
* * * * [misc]progress:  [ 71 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (181 enodes)
* * [misc]simplify:  iters left: 2 (242 enodes)
* * [misc]simplify:  iters left: 1 (273 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (sqrt (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))))
* * * * [misc]progress:  [ 72 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) 1) 1) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) 1) 1)
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (381 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ (+ 2 beta) alpha))) (* (+ (+ beta 1.0) (+ alpha 2)) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (/ (sqrt (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ (+ 2 beta) alpha))) (* (+ (+ beta 1.0) (+ alpha 2)) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 73 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (133 enodes)
* * [misc]simplify:  iters left: 3 (317 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 74 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (260 enodes)
* * [misc]simplify:  iters left: 2 (447 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ alpha (+ 2 beta)))) (/ (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (+ alpha (+ 2 beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ alpha (+ 2 beta)))) (/ (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (+ alpha (+ 2 beta))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ alpha (+ 2 beta)))) (/ (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (+ alpha (+ 2 beta))) (/ (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 75 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (259 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (331 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (+ (+ 1.0 alpha) (+ beta 2))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (* (cbrt (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta))) (/ (/ (cbrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (+ (+ 1.0 alpha) (+ beta 2))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 76 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (124 enodes)
* * [misc]simplify:  iters left: 3 (291 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ alpha (+ 2 beta)))) (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ alpha (+ 2 beta))))) (* (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ alpha (+ 2 beta)))) (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ alpha (+ 2 beta))))) (* (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (216 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ alpha (+ 2 beta)))) (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ alpha (+ 2 beta))))) (* (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 77 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (116 enodes)
* * [misc]simplify:  iters left: 3 (241 enodes)
* * [misc]simplify:  iters left: 2 (398 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ 2 beta) alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ 2 beta) alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (216 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ 2 beta) alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 78 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (216 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (347 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (+ (+ beta 2) (+ 1.0 alpha))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (+ (+ beta 2) (+ 1.0 alpha))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 79 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (129 enodes)
* * [misc]simplify:  iters left: 3 (315 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (/ (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (/ (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* * [misc]simplify:  iters left: 2 (354 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (/ (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 80 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (247 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ alpha (+ 2 beta)))) (/ (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ alpha (+ 2 beta)))) (/ (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* * [misc]simplify:  iters left: 2 (354 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ alpha (+ 2 beta)))) (/ (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 81 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) 1) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (391 enodes)
* * [misc]simplify:  iters left: 1 (471 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta 1.0) (fma alpha beta alpha))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ beta 1.0) (fma alpha beta alpha))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta 1.0) (fma alpha beta alpha))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ beta 1.0) (fma alpha beta alpha))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (416 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ 2 (+ beta alpha))) (* (+ (+ alpha 2) (+ beta 1.0)) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta 1.0) (fma alpha beta alpha))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ beta 1.0) (fma alpha beta alpha))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ 2 (+ beta alpha))) (* (+ (+ alpha 2) (+ beta 1.0)) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 82 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (267 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ alpha (+ 2 beta)))) (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ alpha (+ 2 beta))))) (* (sqrt (+ alpha (+ 2 beta))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ alpha (+ 2 beta)))) (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ alpha (+ 2 beta))))) (* (sqrt (+ alpha (+ 2 beta))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (216 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ alpha (+ 2 beta)))) (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (cbrt (+ alpha (+ 2 beta))))) (* (sqrt (+ alpha (+ 2 beta))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))) (/ (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 83 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (228 enodes)
* * [misc]simplify:  iters left: 2 (384 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ 1.0 beta) (+ alpha 2))))) (/ (cbrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ 1.0 beta) (+ alpha 2))))) (/ (cbrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (216 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ 1.0 beta) (+ alpha 2))))) (/ (cbrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta)))) (/ (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 84 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (200 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 2 beta) alpha)))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 2 beta) alpha)))) (sqrt (+ (+ 2 beta) alpha))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (347 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (+ (+ beta 2) (+ 1.0 alpha))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 2 beta) alpha)))) (sqrt (+ (+ 2 beta) alpha))) (/ (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (+ (+ beta 2) (+ 1.0 alpha))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 85 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* * [misc]simplify:  iters left: 2 (338 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (+ beta (+ alpha 2))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* * [misc]simplify:  iters left: 1 (254 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (+ beta (+ alpha 2))) (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 86 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (257 enodes)
* * [misc]simplify:  iters left: 1 (333 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ (+ 2 beta) alpha))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* * [misc]simplify:  iters left: 1 (254 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ (+ 2 beta) alpha))) (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 87 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (254 enodes)
* * [misc]simplify:  iters left: 1 (391 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (+ beta (+ alpha 2)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (359 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (* (+ beta (+ alpha 2)) (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (* (+ beta (+ alpha 2)) (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 88 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (231 enodes)
* * [misc]simplify:  iters left: 2 (492 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ alpha 2) beta))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* * [misc]simplify:  iters left: 2 (354 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ alpha 2) beta))) (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 89 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* * [misc]simplify:  iters left: 1 (426 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* * [misc]simplify:  iters left: 2 (354 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 90 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) 1) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (266 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (/ (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (fma alpha beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (/ (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (416 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ 2 (+ beta alpha))) (* (+ (+ alpha 2) (+ beta 1.0)) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))) (/ (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (fma alpha beta 1.0))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ 2 (+ beta alpha))) (* (+ (+ alpha 2) (+ beta 1.0)) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 91 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (124 enodes)
* * [misc]simplify:  iters left: 3 (322 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ beta (+ alpha 2)))) (/ (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ beta (+ alpha 2)))) (/ (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (331 enodes)
* * [misc]simplify:  iters left: 1 (498 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ beta (+ alpha 2)))) (/ (/ (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 92 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (116 enodes)
* * [misc]simplify:  iters left: 3 (283 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (331 enodes)
* * [misc]simplify:  iters left: 1 (498 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 93 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (209 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 2 beta) alpha)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (215 enodes)
* * [misc]simplify:  iters left: 2 (485 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (+ 2 (+ beta alpha))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 2 beta) alpha)))) (/ (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (+ 2 (+ beta alpha))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 94 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (259 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ alpha (+ 2 beta)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (331 enodes)
* * [misc]simplify:  iters left: 1 (498 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ alpha (+ 2 beta)))) (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 95 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (227 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (331 enodes)
* * [misc]simplify:  iters left: 1 (498 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 96 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* * [misc]simplify:  iters left: 2 (347 enodes)
* * [misc]simplify:  iters left: 1 (373 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (fma beta alpha beta) (+ alpha 1.0))) (cbrt (+ (fma beta alpha beta) (+ alpha 1.0)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (fma beta alpha beta) (+ alpha 1.0))) (cbrt (+ (fma beta alpha beta) (+ alpha 1.0)))) (sqrt (+ beta (+ alpha 2)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (215 enodes)
* * [misc]simplify:  iters left: 2 (485 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (+ 2 (+ beta alpha))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (fma beta alpha beta) (+ alpha 1.0))) (cbrt (+ (fma beta alpha beta) (+ alpha 1.0)))) (sqrt (+ beta (+ alpha 2)))) (/ (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (+ 2 (+ beta alpha))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 97 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (221 enodes)
* * [misc]simplify:  iters left: 2 (453 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 2 alpha) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 2 alpha) (+ beta 1.0))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (311 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 2 alpha) (+ beta 1.0))))) (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 98 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (182 enodes)
* * [misc]simplify:  iters left: 2 (318 enodes)
* * [misc]simplify:  iters left: 1 (345 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (sqrt (+ (+ 2 alpha) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (311 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 99 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) 1) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (170 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (495 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (* (* (+ (+ alpha 2) (+ beta 1.0)) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (* (* (+ (+ alpha 2) (+ beta 1.0)) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 100 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (282 enodes)
* * [misc]simplify:  iters left: 1 (481 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (+ alpha (+ beta 2))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (+ alpha (+ beta 2))))) (/ (/ (sqrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 101 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (222 enodes)
* * [misc]simplify:  iters left: 1 (331 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (sqrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 102 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* * [misc]simplify:  iters left: 1 (266 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta alpha) (fma alpha beta 1.0))) (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta alpha) (fma alpha beta 1.0))) (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (331 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (+ (+ 1.0 alpha) (+ beta 2))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta alpha) (fma alpha beta 1.0))) (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (+ (+ 1.0 alpha) (+ beta 2))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 103 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (181 enodes)
* * [misc]simplify:  iters left: 2 (272 enodes)
* * [misc]simplify:  iters left: 1 (356 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ alpha 2) beta)) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ alpha 2) beta)) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (216 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta)))) (* (sqrt (+ (+ alpha 2) beta)) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 104 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (225 enodes)
* * [misc]simplify:  iters left: 1 (264 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (+ alpha (+ beta 2)))) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (+ alpha (+ beta 2)))) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (216 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (cbrt (+ alpha (+ beta 2)))) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 105 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (236 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (347 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (+ (+ beta 2) (+ 1.0 alpha))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (+ (+ beta 2) (+ 1.0 alpha))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 106 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (247 enodes)
* * [misc]simplify:  iters left: 1 (298 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (* (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (* (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* * [misc]simplify:  iters left: 2 (354 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (* (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 107 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (231 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* * [misc]simplify:  iters left: 2 (354 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 108 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) 1) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (416 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ 2 (+ beta alpha))) (* (+ (+ alpha 2) (+ beta 1.0)) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ 2 (+ beta alpha))) (* (+ (+ alpha 2) (+ beta 1.0)) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 109 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (276 enodes)
* * [misc]simplify:  iters left: 1 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) beta))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) beta))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (216 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) beta))) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 110 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (221 enodes)
* * [misc]simplify:  iters left: 1 (268 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (sqrt (+ (fma beta alpha beta) (+ alpha 1.0))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ alpha (+ beta 2)))) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (fma beta alpha beta) (+ alpha 1.0))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ alpha (+ beta 2)))) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (216 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (fma beta alpha beta) (+ alpha 1.0))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ alpha (+ beta 2)))) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 111 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (202 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (347 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (+ (+ beta 2) (+ 1.0 alpha))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (+ (+ beta 2) (+ 1.0 alpha))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 112 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* * [misc]simplify:  iters left: 1 (327 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (+ beta (+ alpha 2))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (+ beta (+ alpha 2))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* * [misc]simplify:  iters left: 1 (254 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma alpha beta 1.0) (+ beta alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (+ beta (+ alpha 2))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (fma alpha beta 1.0) (+ beta alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 113 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* * [misc]simplify:  iters left: 1 (254 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma alpha beta 1.0) (+ beta alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (fma alpha beta 1.0) (+ beta alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* * [misc]simplify:  iters left: 1 (254 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma alpha beta 1.0) (+ beta alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (fma alpha beta 1.0) (+ beta alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (sqrt (+ (fma alpha beta 1.0) (+ beta alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 114 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (+ (+ alpha 2) beta)) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (359 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) (fma alpha beta 1.0))) (* (+ beta (+ alpha 2)) (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta alpha) (fma alpha beta 1.0))) (* (+ beta (+ alpha 2)) (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 115 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (223 enodes)
* * [misc]simplify:  iters left: 1 (256 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* * [misc]simplify:  iters left: 2 (354 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 116 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (212 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* * [misc]simplify:  iters left: 2 (354 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 117 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) 1) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (154 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (416 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ 2 (+ beta alpha))) (* (+ (+ alpha 2) (+ beta 1.0)) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ 2 (+ beta alpha))) (* (+ (+ alpha 2) (+ beta 1.0)) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 118 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (310 enodes)
* * [misc]simplify:  iters left: 1 (373 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma alpha beta 1.0) (+ beta alpha))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 2 1.0)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (fma alpha beta 1.0) (+ beta alpha))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 2 1.0)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 2 1.0)))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (331 enodes)
* * [misc]simplify:  iters left: 1 (498 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (fma alpha beta 1.0) (+ beta alpha))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 2 1.0)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta alpha) (+ 2 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 119 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (245 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (331 enodes)
* * [misc]simplify:  iters left: 1 (498 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 120 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (169 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (215 enodes)
* * [misc]simplify:  iters left: 2 (485 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (+ 2 (+ beta alpha))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))) (/ (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (+ 2 (+ beta alpha))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 121 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (260 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (331 enodes)
* * [misc]simplify:  iters left: 1 (498 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 122 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (216 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (331 enodes)
* * [misc]simplify:  iters left: 1 (498 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 123 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (157 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (215 enodes)
* * [misc]simplify:  iters left: 2 (485 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (+ 2 (+ beta alpha))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (+ 2 (+ beta alpha))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 124 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (136 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (311 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 125 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (311 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 126 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) 1) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (139 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (495 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma alpha beta 1.0) (+ beta alpha))) (* (* (+ (+ alpha 2) (+ beta 1.0)) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (/ (sqrt (+ (fma alpha beta 1.0) (+ beta alpha))) (* (* (+ (+ alpha 2) (+ beta 1.0)) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 127 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (362 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ 2 1.0) (+ alpha beta)))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ 2 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ 2 1.0) (+ alpha beta)))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ 2 1.0) (+ alpha beta))))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (207 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ 2 1.0) (+ alpha beta)))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ 2 1.0) (+ alpha beta))))) (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 128 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (220 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))) (sqrt (+ (+ alpha beta) (+ 2 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))) (sqrt (+ (+ alpha beta) (+ 2 1.0)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (207 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))) (sqrt (+ (+ alpha beta) (+ 2 1.0)))) (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 129 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ 1.0 2) (+ beta alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))) (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ 1.0 2) (+ beta alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 130 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (192 enodes)
* * [misc]simplify:  iters left: 1 (249 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2))))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (192 enodes)
* * [misc]simplify:  iters left: 1 (219 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2))))) (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 131 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (137 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (192 enodes)
* * [misc]simplify:  iters left: 1 (219 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 132 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (188 enodes)
* * [misc]simplify:  iters left: 2 (342 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 beta) (fma beta alpha alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (+ (+ 1.0 beta) (fma beta alpha alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 133 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ 2 1.0) (+ alpha beta)))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ 2 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (* (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ 2 1.0) (+ alpha beta)))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ 2 1.0) (+ alpha beta)))))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* * [misc]simplify:  iters left: 2 (349 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (cbrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ 2 1.0) (+ alpha beta)))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ 2 1.0) (+ alpha beta)))))) (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (cbrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 134 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* * [misc]simplify:  iters left: 2 (349 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (cbrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (cbrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 135 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (415 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (* (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))) (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (* (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 136 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (259 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2)))) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2)))) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (192 enodes)
* * [misc]simplify:  iters left: 1 (219 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2)))) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2)))) (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 137 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (154 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (192 enodes)
* * [misc]simplify:  iters left: 1 (219 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))))) (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 138 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (188 enodes)
* * [misc]simplify:  iters left: 2 (342 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 beta) (fma beta alpha alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (/ (+ (+ 1.0 beta) (fma beta alpha alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 139 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (216 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha 2) beta)) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (+ (+ alpha 2) beta)) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) (+ 1.0 2))))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (203 enodes)
* * [misc]simplify:  iters left: 1 (251 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ beta (+ alpha 2))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (+ (+ alpha 2) beta)) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) (+ 1.0 2))))) (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ beta (+ alpha 2))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* * * * [misc]progress:  [ 140 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [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 (78 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (147 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (203 enodes)
* * [misc]simplify:  iters left: 1 (251 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* * * * [misc]progress:  [ 141 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ alpha beta) 2))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (+ (+ alpha beta) 2)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (358 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 1.0 2) (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (+ (+ alpha beta) 2)) (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 1.0 2) (+ beta alpha))))))
* * * * [misc]progress:  [ 142 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (+ (+ alpha beta) (+ 1.0 2)))) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ alpha beta) (+ 1.0 2)))) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (sqrt (+ (+ alpha 2) beta)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* * [misc]simplify:  iters left: 2 (349 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (sqrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ alpha beta) (+ 1.0 2)))) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (sqrt (+ (+ alpha 2) beta)))) (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (sqrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 143 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* * [misc]simplify:  iters left: 2 (349 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (sqrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (sqrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 144 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) 1) 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) 1) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (415 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (* (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (* (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)) (sqrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 145 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (* (cbrt (+ (+ beta alpha) (+ 2 1.0))) (cbrt (+ beta (+ 2 alpha)))) (* (cbrt (+ (+ beta alpha) (+ 2 1.0))) (cbrt (+ beta (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (* (* (cbrt (+ (+ beta alpha) (+ 2 1.0))) (cbrt (+ beta (+ 2 alpha)))) (* (cbrt (+ (+ beta alpha) (+ 2 1.0))) (cbrt (+ beta (+ 2 alpha)))))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (* (cbrt (+ (+ beta alpha) (+ 2 1.0))) (cbrt (+ beta (+ 2 alpha)))) (* (cbrt (+ (+ beta alpha) (+ 2 1.0))) (cbrt (+ beta (+ 2 alpha)))))) (/ (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 146 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (* (cbrt (+ (+ 2 alpha) beta)) (cbrt (+ (+ 2 alpha) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (* (cbrt (+ (+ 2 alpha) beta)) (cbrt (+ (+ 2 alpha) beta)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ 2 (+ beta alpha))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (* (cbrt (+ (+ 2 alpha) beta)) (cbrt (+ (+ 2 alpha) beta)))) (/ (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ 2 (+ beta alpha))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 147 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ beta (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ beta (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha))))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (221 enodes)
* * [misc]simplify:  iters left: 2 (475 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ (+ 2 beta) alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ beta (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha))))) (/ (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ (+ 2 beta) alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 148 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (101 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ 2 alpha) beta))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ 2 alpha) beta))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ 2 alpha) beta))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 149 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ 2 (+ beta alpha))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))) (/ (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ 2 (+ beta alpha))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 150 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 1) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 1) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ beta (+ 2 alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (sqrt (+ beta (+ 2 alpha)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (221 enodes)
* * [misc]simplify:  iters left: 2 (475 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ (+ 2 beta) alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (sqrt (+ beta (+ 2 alpha)))) (/ (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ (+ 2 beta) alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 151 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 1) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 1) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (88 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ (+ 2 1.0) (+ alpha beta))) (cbrt (+ (+ 2 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ 2 1.0) (+ alpha beta))) (cbrt (+ (+ 2 1.0) (+ alpha beta))))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ 2 1.0) (+ alpha beta))) (cbrt (+ (+ 2 1.0) (+ alpha beta))))) (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* * * * [misc]progress:  [ 152 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* * * * [misc]progress:  [ 153 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ 1 1) 1) 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ 1 1) 1) 1)
* * [misc]simplify:  iters left: 6 (4 enodes)
* * [misc]simplify:  iters left: 5 (6 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* 1 (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (458 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* 1 (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 154 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (123 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (* (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 155 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ 2 (+ beta alpha))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))) (/ (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ 2 (+ beta alpha))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (cbrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 156 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (cbrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (cbrt (+ (+ alpha beta) 2))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (221 enodes)
* * [misc]simplify:  iters left: 2 (475 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ (+ 2 beta) alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (cbrt (+ (+ alpha beta) 2))) (/ (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ (+ 2 beta) alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 157 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ 2 1.0) (+ alpha beta))) (cbrt (+ (+ 2 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ 2 1.0) (+ alpha beta))) (cbrt (+ (+ 2 1.0) (+ alpha beta))))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ 2 1.0) (+ alpha beta))) (cbrt (+ (+ 2 1.0) (+ alpha beta))))) (/ (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 158 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (339 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ 2 (+ beta alpha))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ 2 (+ beta alpha))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 159 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ beta 2) alpha))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (221 enodes)
* * [misc]simplify:  iters left: 2 (475 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ (+ 2 beta) alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ beta 2) alpha))) (/ (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ (+ 2 beta) alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 160 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (77 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ (+ 2 1.0) (+ beta alpha))) (cbrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ 2 1.0) (+ beta alpha))) (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ 2 1.0) (+ beta alpha))) (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* * * * [misc]progress:  [ 161 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ beta alpha) (+ 2 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ beta alpha) (+ 2 1.0)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ beta alpha) (+ 2 1.0)))) (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* * * * [misc]progress:  [ 162 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 1) 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) 1)
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* 1 (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (458 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* 1 (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 163 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (208 enodes)
* * [misc]simplify:  iters left: 1 (236 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma alpha beta beta) (+ alpha 1.0)) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (fma alpha beta beta) (+ alpha 1.0)) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (250 enodes)
* * [misc]simplify:  iters left: 1 (391 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (cbrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (fma alpha beta beta) (+ alpha 1.0)) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (cbrt (+ (+ alpha beta) 2)))))
* * * * [misc]progress:  [ 164 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* * [misc]simplify:  iters left: 1 (208 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (250 enodes)
* * [misc]simplify:  iters left: 1 (391 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (cbrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (cbrt (+ (+ alpha beta) 2)))))
* * * * [misc]progress:  [ 165 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (136 enodes)
* * [misc]simplify:  iters left: 1 (159 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (cbrt (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (cbrt (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (400 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))) (+ (+ beta 2) (+ alpha 1.0)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (cbrt (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) (/ (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))) (+ (+ beta 2) (+ alpha 1.0)))))
* * * * [misc]progress:  [ 166 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (250 enodes)
* * [misc]simplify:  iters left: 1 (391 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ (+ alpha beta) 2)))))
* * * * [misc]progress:  [ 167 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 1.0 2) (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (250 enodes)
* * [misc]simplify:  iters left: 1 (391 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ (+ alpha beta) 2)))))
* * * * [misc]progress:  [ 168 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta 1.0) (fma alpha beta alpha)) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ beta 1.0) (fma alpha beta alpha)) (sqrt (+ (+ alpha 2) beta))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (400 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))) (+ (+ beta 2) (+ alpha 1.0)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ beta 1.0) (fma alpha beta alpha)) (sqrt (+ (+ alpha 2) beta))) (/ (/ (/ 1 (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))) (+ (+ beta 2) (+ alpha 1.0)))))
* * * * [misc]progress:  [ 169 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (210 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta 2) alpha)) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (/ 1 (+ (+ beta 2) alpha)) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 170 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta 2) alpha)) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (/ 1 (+ (+ beta 2) alpha)) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 171 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) 1) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (+ (fma beta alpha beta) (+ 1.0 alpha))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (+ (fma beta alpha beta) (+ 1.0 alpha)) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (407 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha 2) beta)) (* (+ (+ beta 2) (+ 1.0 alpha)) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (+ (fma beta alpha beta) (+ 1.0 alpha)) (/ (/ 1 (+ (+ alpha 2) beta)) (* (+ (+ beta 2) (+ 1.0 alpha)) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 172 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (146 enodes)
* * [misc]simplify:  iters left: 3 (349 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8)) (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8)) (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (140 enodes)
* * [misc]simplify:  iters left: 3 (393 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4)) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8)) (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4)) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))))
* * * * [misc]progress:  [ 173 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (136 enodes)
* * [misc]simplify:  iters left: 3 (296 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (140 enodes)
* * [misc]simplify:  iters left: 3 (393 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4)) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4)) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))))
* * * * [misc]progress:  [ 174 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* * [misc]simplify:  iters left: 3 (268 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (139 enodes)
* * [misc]simplify:  iters left: 3 (436 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4)) (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4)) (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ alpha (+ beta 2))))))
* * * * [misc]progress:  [ 175 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (136 enodes)
* * [misc]simplify:  iters left: 3 (316 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (sqrt (+ beta (+ alpha 2)))) (* (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (sqrt (+ beta (+ alpha 2)))) (* (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (140 enodes)
* * [misc]simplify:  iters left: 3 (393 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4)) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (sqrt (+ beta (+ alpha 2)))) (* (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))) (/ (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4)) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))))
* * * * [misc]progress:  [ 176 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (128 enodes)
* * [misc]simplify:  iters left: 3 (274 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (sqrt (+ alpha (+ 2 beta)))) (* (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (sqrt (+ alpha (+ 2 beta)))) (* (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (140 enodes)
* * [misc]simplify:  iters left: 3 (393 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (sqrt (+ alpha (+ 2 beta)))) (* (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))))
* * * * [misc]progress:  [ 177 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (258 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (sqrt (+ alpha (+ 2 beta)))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (139 enodes)
* * [misc]simplify:  iters left: 3 (436 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4)) (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (sqrt (+ alpha (+ 2 beta)))) (/ (/ (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4)) (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ alpha (+ beta 2))))))
* * * * [misc]progress:  [ 178 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (134 enodes)
* * [misc]simplify:  iters left: 3 (300 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8)) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8)) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (157 enodes)
* * [misc]simplify:  iters left: 3 (440 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ beta alpha) (+ beta alpha) (fma (+ beta alpha) -2 4)) (cbrt (+ (+ 2 1.0) (+ beta alpha)))) (+ alpha (+ beta 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8)) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (/ (fma (+ beta alpha) (+ beta alpha) (fma (+ beta alpha) -2 4)) (cbrt (+ (+ 2 1.0) (+ beta alpha)))) (+ alpha (+ beta 2)))))
* * * * [misc]progress:  [ 179 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (127 enodes)
* * [misc]simplify:  iters left: 3 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (157 enodes)
* * [misc]simplify:  iters left: 3 (440 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ beta alpha) (+ beta alpha) (fma (+ beta alpha) -2 4)) (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (+ alpha (+ beta 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (/ (/ (fma (+ beta alpha) (+ beta alpha) (fma (+ beta alpha) -2 4)) (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (+ alpha (+ beta 2)))))
* * * * [misc]progress:  [ 180 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) 1) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (221 enodes)
* * [misc]simplify:  iters left: 2 (492 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8)) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (156 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ beta alpha) (+ beta alpha) (fma (+ beta alpha) -2 4)) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8)) (/ (fma (+ beta alpha) (+ beta alpha) (fma (+ beta alpha) -2 4)) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))))))
* * * * [misc]progress:  [ 181 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (163 enodes)
* * [misc]simplify:  iters left: 3 (453 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (fma (+ beta alpha) (+ beta alpha) -4)) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (fma (+ beta alpha) (+ beta alpha) -4)) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (164 enodes)
* [exit]simplify:  Simplified to (/ (/ (- beta (- 2 alpha)) (cbrt (+ (+ alpha 1.0) (+ beta 2)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (fma (+ beta alpha) (+ beta alpha) -4)) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (/ (- beta (- 2 alpha)) (cbrt (+ (+ alpha 1.0) (+ beta 2)))) (cbrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 182 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (153 enodes)
* * [misc]simplify:  iters left: 3 (407 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (fma (+ beta alpha) (+ beta alpha) -4)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (fma (+ beta alpha) (+ beta alpha) -4)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (164 enodes)
* [exit]simplify:  Simplified to (/ (/ (- beta (- 2 alpha)) (sqrt (+ (+ alpha 1.0) (+ beta 2)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (fma (+ beta alpha) (+ beta alpha) -4)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (/ (/ (- beta (- 2 alpha)) (sqrt (+ (+ alpha 1.0) (+ beta 2)))) (cbrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 183 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* * [misc]simplify:  iters left: 3 (378 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (cbrt (+ 2 (+ beta alpha)))) (* (fma (+ beta alpha) (+ beta alpha) -4) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (cbrt (+ 2 (+ beta alpha)))) (* (fma (+ beta alpha) (+ beta alpha) -4) (cbrt (+ 2 (+ beta alpha))))) (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (288 enodes)
* * [misc]simplify:  iters left: 1 (417 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (- beta 2) alpha) (+ (+ beta 2) (+ alpha 1.0))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (cbrt (+ 2 (+ beta alpha)))) (* (fma (+ beta alpha) (+ beta alpha) -4) (cbrt (+ 2 (+ beta alpha))))) (/ (/ (+ (- beta 2) alpha) (+ (+ beta 2) (+ alpha 1.0))) (cbrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 184 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (152 enodes)
* * [misc]simplify:  iters left: 3 (410 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (fma (+ beta alpha) (+ beta alpha) -4)) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (fma (+ beta alpha) (+ beta alpha) -4)) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ alpha (+ beta 2))))) (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (164 enodes)
* [exit]simplify:  Simplified to (/ (/ (- beta (- 2 alpha)) (cbrt (+ (+ alpha 1.0) (+ beta 2)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (fma (+ beta alpha) (+ beta alpha) -4)) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ alpha (+ beta 2))))) (/ (/ (- beta (- 2 alpha)) (cbrt (+ (+ alpha 1.0) (+ beta 2)))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 185 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (144 enodes)
* * [misc]simplify:  iters left: 3 (375 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (fma (+ beta alpha) (+ beta alpha) -4)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (fma (+ beta alpha) (+ beta alpha) -4))) (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (164 enodes)
* [exit]simplify:  Simplified to (/ (/ (- beta (- 2 alpha)) (sqrt (+ (+ alpha 1.0) (+ beta 2)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (fma (+ beta alpha) (+ beta alpha) -4))) (/ (/ (- beta (- 2 alpha)) (sqrt (+ (+ alpha 1.0) (+ beta 2)))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 186 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* * [misc]simplify:  iters left: 3 (356 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (fma (+ beta alpha) (+ beta alpha) -4)) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (fma (+ beta alpha) (+ beta alpha) -4)) (sqrt (+ (+ alpha 2) beta))) (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (288 enodes)
* * [misc]simplify:  iters left: 1 (417 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (- beta 2) alpha) (+ (+ beta 2) (+ alpha 1.0))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (fma (+ beta alpha) (+ beta alpha) -4)) (sqrt (+ (+ alpha 2) beta))) (/ (/ (+ (- beta 2) alpha) (+ (+ beta 2) (+ alpha 1.0))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 187 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (386 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (fma (+ beta alpha) (+ beta alpha) -4)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (fma (+ beta alpha) (+ beta alpha) -4)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (212 enodes)
* * [misc]simplify:  iters left: 1 (239 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ -2 alpha) beta) (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 1.0) (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (fma (+ beta alpha) (+ beta alpha) -4)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (/ (+ (+ -2 alpha) beta) (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 1.0) (+ beta 2))))))
* * * * [misc]progress:  [ 188 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (136 enodes)
* * [misc]simplify:  iters left: 3 (346 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (fma (+ beta alpha) (+ beta alpha) -4)) (sqrt (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (fma (+ beta alpha) (+ beta alpha) -4)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (212 enodes)
* * [misc]simplify:  iters left: 1 (239 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ -2 alpha) beta) (+ 2 (+ beta alpha))) (sqrt (+ (+ alpha 1.0) (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (fma (+ beta alpha) (+ beta alpha) -4)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (/ (+ (+ -2 alpha) beta) (+ 2 (+ beta alpha))) (sqrt (+ (+ alpha 1.0) (+ beta 2))))))
* * * * [misc]progress:  [ 189 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) 1) (/ (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (fma (+ beta alpha) (+ beta alpha) -4))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (fma (+ beta alpha) (+ beta alpha) -4)) (/ (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (378 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ -2 (+ beta alpha)) (+ 2 (+ beta alpha))) (+ (+ alpha 1.0) (+ beta 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (fma (+ beta alpha) (+ beta alpha) -4)) (/ (/ (+ -2 (+ beta alpha)) (+ 2 (+ beta alpha))) (+ (+ alpha 1.0) (+ beta 2)))))
* * * * [misc]progress:  [ 190 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ 1.0 beta) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ 1.0 beta) (+ alpha 2))))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ 1.0 beta) (+ alpha 2))))) (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* * * * [misc]progress:  [ 191 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ 1 (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ 1.0 beta) (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ 1.0 beta) (+ alpha 2)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ 1.0 beta) (+ alpha 2)))) (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha)) (+ (+ 2 beta) alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* * * * [misc]progress:  [ 192 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ 1 1) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* 1 (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (458 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* 1 (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 193 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* * [misc]simplify:  iters left: 2 (365 enodes)
* * [misc]simplify:  iters left: 1 (498 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta 1.0) (fma alpha beta alpha)) (+ (+ 2 beta) alpha)) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (fma alpha beta alpha)) (+ (+ 2 beta) alpha)) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ 1.0 beta) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (fma alpha beta alpha)) (+ (+ 2 beta) alpha)) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ 1.0 beta) (+ alpha 2))))))
* * * * [misc]progress:  [ 194 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (232 enodes)
* * [misc]simplify:  iters left: 1 (264 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ 2 (+ beta alpha))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ 2 (+ beta alpha))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 beta) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ 2 (+ beta alpha))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 beta) (+ alpha 2))))))
* * * * [misc]progress:  [ 195 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) 1) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (137 enodes)
* * [misc]simplify:  iters left: 2 (218 enodes)
* * [misc]simplify:  iters left: 1 (268 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (310 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta 2) (+ alpha 1.0))) (+ (+ alpha beta) 2))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha))) (/ (/ 1 (+ (+ beta 2) (+ alpha 1.0))) (+ (+ alpha beta) 2))))
* * * * [misc]progress:  [ 196 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ beta (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ beta (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* * [misc]simplify:  iters left: 3 (352 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ beta alpha) (+ beta alpha) (fma -2 (+ beta alpha) 4)) (cbrt (+ (+ 1.0 2) (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ beta (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8))) (/ (fma (+ beta alpha) (+ beta alpha) (fma -2 (+ beta alpha) 4)) (cbrt (+ (+ 1.0 2) (+ beta alpha))))))
* * * * [misc]progress:  [ 197 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (142 enodes)
* * [misc]simplify:  iters left: 3 (326 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (+ (+ 2 beta) alpha))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* * [misc]simplify:  iters left: 3 (352 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ beta alpha) (+ beta alpha) (fma -2 (+ beta alpha) 4)) (sqrt (+ (+ 1.0 2) (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (+ (+ 2 beta) alpha))) (/ (fma (+ beta alpha) (+ beta alpha) (fma -2 (+ beta alpha) 4)) (sqrt (+ (+ 1.0 2) (+ beta alpha))))))
* * * * [misc]progress:  [ 198 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (127 enodes)
* * [misc]simplify:  iters left: 3 (313 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ 2 (+ alpha beta))) (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ 2 (+ alpha beta))) (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8)) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (129 enodes)
* * [misc]simplify:  iters left: 3 (359 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ beta alpha) (+ beta alpha) (fma -2 (+ beta alpha) 4)) (+ (+ 1.0 2) (+ beta alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ 2 (+ alpha beta))) (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8)) (/ (fma (+ beta alpha) (+ beta alpha) (fma -2 (+ beta alpha) 4)) (+ (+ 1.0 2) (+ beta alpha)))))
* * * * [misc]progress:  [ 199 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (161 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (fma (+ beta alpha) (+ beta alpha) -4)) (+ (+ 2 beta) alpha)) (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ 1.0 beta) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (fma (+ beta alpha) (+ beta alpha) -4)) (+ (+ 2 beta) alpha)) (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ 1.0 beta) (+ alpha 2))))) (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta alpha) -2) (cbrt (+ (+ 2 alpha) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (fma (+ beta alpha) (+ beta alpha) -4)) (+ (+ 2 beta) alpha)) (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ 1.0 beta) (+ alpha 2))))) (/ (+ (+ beta alpha) -2) (cbrt (+ (+ 2 alpha) (+ beta 1.0))))))
* * * * [misc]progress:  [ 200 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (153 enodes)
* * [misc]simplify:  iters left: 3 (470 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (fma (+ beta alpha) (+ beta alpha) -4) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (fma (+ beta alpha) (+ beta alpha) -4) (+ 2 (+ beta alpha)))) (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta alpha) -2) (sqrt (+ (+ 2 alpha) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (* (fma (+ beta alpha) (+ beta alpha) -4) (+ 2 (+ beta alpha)))) (/ (+ (+ beta alpha) -2) (sqrt (+ (+ 2 alpha) (+ beta 1.0))))))
* * * * [misc]progress:  [ 201 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) (/ (- (+ alpha beta) (* 2 1)) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* * [misc]simplify:  iters left: 3 (434 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ alpha (+ 2 beta))) (fma (+ beta alpha) (+ beta alpha) -4))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ alpha (+ 2 beta))) (fma (+ beta alpha) (+ beta alpha) -4)) (/ (- (+ alpha beta) (* 2 1)) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (- (+ alpha beta) (* 2 1)) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ -2 alpha) beta) (+ (+ alpha 1.0) (+ beta 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ alpha (+ 2 beta))) (fma (+ beta alpha) (+ beta alpha) -4)) (/ (+ (+ -2 alpha) beta) (+ (+ alpha 1.0) (+ beta 2)))))
* * * * [misc]progress:  [ 202 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* 1 (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* * * * [misc]progress:  [ 203 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/ 1 (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* * * * [misc]progress:  [ 204 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ 1 (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))>
* * * * [misc]progress:  [ 205 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (+ 2 alpha) (+ 1.0 beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (cbrt (+ (+ 2 alpha) (+ 1.0 beta)))))
* * * * [misc]progress:  [ 206 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))
* * * * [misc]progress:  [ 207 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) 1) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ (+ alpha beta) (* 2 1)) 1.0)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* [exit]simplify:  Simplified to (+ (+ 2 alpha) (+ 1.0 beta))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) 1) (+ (+ 2 alpha) (+ 1.0 beta))))
* * * * [misc]progress:  [ 208 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ beta (+ alpha 2))) (+ beta (+ alpha 2)))) (cbrt (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ beta (+ alpha 2))) (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (cbrt (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ beta (+ alpha 2))) (+ beta (+ alpha 2)))) (cbrt (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ beta (+ alpha 2))) (+ beta (+ alpha 2))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 209 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (209 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (sqrt (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 210 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (170 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 211 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 212 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) 1) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 213 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (146 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 214 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 215 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) 1) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (144 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (sqrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 216 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (309 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (+ beta (+ alpha 2))) (/ (cbrt (+ beta (+ alpha 2))) (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (+ beta (+ alpha 2))) (/ (cbrt (+ beta (+ alpha 2))) (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 217 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (259 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (/ (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (/ (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (sqrt (+ beta (+ alpha 2))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 218 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (373 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 219 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (218 enodes)
* * [misc]simplify:  iters left: 1 (262 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))) (/ (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))) (/ (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 220 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (141 enodes)
* * [misc]simplify:  iters left: 1 (170 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (+ (+ 2 beta) alpha)) (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (+ (+ 2 beta) alpha)) (cbrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 221 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* * [misc]simplify:  iters left: 1 (263 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ beta 1.0) (fma alpha beta alpha))) (cbrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (* (cbrt (+ (+ beta 1.0) (fma alpha beta alpha))) (cbrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (+ (+ 2 beta) alpha))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 222 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (453 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 223 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (294 enodes)
* * [misc]simplify:  iters left: 1 (319 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (* (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (sqrt (+ (+ 2 beta) alpha))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 224 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (157 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 225 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 226 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha beta) (+ alpha 1.0))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ (fma beta alpha beta) (+ alpha 1.0))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 227 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (141 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha beta) (+ alpha 1.0))) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ (fma beta alpha beta) (+ alpha 1.0))) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 228 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (140 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 229 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (147 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ 2 (+ beta alpha))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 230 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 231 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 232 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ alpha (+ beta 2)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 233 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 234 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 235 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 236 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (cbrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (cbrt (+ (+ alpha beta) 2))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 237 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 238 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ 1 (+ (+ beta 2) alpha)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 239 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 240 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ 1 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ beta (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ 1 (* (cbrt (+ beta (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 241 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ 1 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ 2 alpha) beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ 1 (sqrt (+ (+ 2 alpha) beta))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 242 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ 1 1) 1) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) 1)
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ 1 (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 243 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 244 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 245 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ 1 1) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ 1 (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 246 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (145 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 247 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 248 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))>
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (+ (+ beta 1.0) (fma alpha beta alpha))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (+ (+ beta 1.0) (fma alpha beta alpha)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 249 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (247 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 250 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (* (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (* (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8) (sqrt (+ (+ alpha 2) beta)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 251 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (221 enodes)
* * [misc]simplify:  iters left: 2 (493 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 beta) (fma beta alpha alpha)) (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ 1.0 beta) (fma beta alpha alpha)) (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 252 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* * [misc]simplify:  iters left: 3 (356 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (fma (+ beta alpha) (+ beta alpha) -4)) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (fma (+ beta alpha) (+ beta alpha) -4)) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 253 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (324 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (fma (+ beta alpha) (+ beta alpha) -4)) (sqrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (fma (+ beta alpha) (+ beta alpha) -4)) (sqrt (+ alpha (+ beta 2)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 254 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* * [misc]simplify:  iters left: 3 (292 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (fma (+ beta alpha) (+ beta alpha) -4))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (fma (+ beta alpha) (+ beta alpha) -4)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 255 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ 1 (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))>
* * * * [misc]progress:  [ 256 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))))>
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ (+ 2 beta) alpha))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ (+ 2 beta) alpha)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 257 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (235 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ alpha (+ 2 beta))) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ alpha (+ 2 beta))) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 258 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (- (+ alpha beta) (* 2 1)))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (124 enodes)
* * [misc]simplify:  iters left: 3 (341 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ 2 (+ beta alpha))) (fma (+ beta alpha) (+ beta alpha) -4))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ 2 (+ beta alpha))) (fma (+ beta alpha) (+ beta alpha) -4)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (- (+ alpha beta) (* 2 1)))))
* * * * [misc]progress:  [ 259 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ (+ alpha beta) (* 2 1)) 3) (pow 1.0 3))) (+ (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (+ (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* [exit]simplify:  Simplified to (fma (- (- 1.0 2) (+ beta alpha)) 1.0 (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ (+ alpha beta) (* 2 1)) 3) (pow 1.0 3))) (fma (- (- 1.0 2) (+ beta alpha)) 1.0 (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 260 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (- (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (* 1.0 1.0))) (- (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (+ (+ alpha beta) (* 2 1)) 1.0)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (+ (- beta 1.0) (+ 2 alpha))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (- (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (* 1.0 1.0))) (+ (- beta 1.0) (+ 2 alpha))))
* * * * [misc]progress:  [ 261 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ alpha beta) (* 2 1)))))>
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ (+ 2 beta) alpha))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ (+ 2 beta) alpha)) (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ alpha beta) (* 2 1)))))
* * * * [misc]progress:  [ 262 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (log1p (expm1 (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 263 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (expm1 (log1p (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 264 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (pow (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) 1) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 265 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (exp (- (- (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (- (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (161 enodes)
* * [misc]simplify:  iters left: 1 (225 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (+ beta 1.0) (fma beta alpha alpha))) (log (+ (+ alpha 2) beta))) (log (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (exp (- (- (log (+ (+ beta 1.0) (fma beta alpha alpha))) (log (+ (+ alpha 2) beta))) (log (+ (+ alpha 2) beta)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 266 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (exp (- (log (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (log (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (log (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (log (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (- (log (+ (+ beta 1.0) (fma alpha beta alpha))) (+ (log (+ 2 (+ beta alpha))) (log (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (exp (- (log (+ (+ beta 1.0) (fma alpha beta alpha))) (+ (log (+ 2 (+ beta alpha))) (log (+ 2 (+ beta alpha)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 267 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (exp (log (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 268 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (log (exp (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 269 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (cbrt (/ (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (373 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (pow (+ beta (+ alpha 2)) 4)) (* (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ beta (+ alpha 2))) (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (cbrt (* (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (pow (+ beta (+ alpha 2)) 4)) (* (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ beta (+ alpha 2))) (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ beta (+ alpha 2)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 270 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (cbrt (/ (* (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (273 enodes)
* [exit]simplify:  Simplified to (pow (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ alpha (+ 2 beta))) (+ alpha (+ 2 beta))) 3)
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (cbrt (pow (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ alpha (+ 2 beta))) (+ alpha (+ 2 beta))) 3)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 271 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 272 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (cbrt (* (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 273 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 274 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (- (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (- (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 275 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (170 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (/ (cbrt (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha)))) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (cbrt (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha)))) (/ (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 276 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 277 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) 1) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha))))) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha))))) (/ (cbrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 278 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (146 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 279 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (/ (sqrt (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 280 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) 1) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (144 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (sqrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (sqrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (/ (sqrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 281 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (309 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (+ beta (+ alpha 2))) (/ (cbrt (+ beta (+ alpha 2))) (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (+ beta (+ alpha 2))) (/ (cbrt (+ beta (+ alpha 2))) (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (147 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta 1.0) (fma alpha beta alpha))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (+ beta (+ alpha 2))) (/ (cbrt (+ beta (+ alpha 2))) (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ (cbrt (+ (+ beta 1.0) (fma alpha beta alpha))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 282 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (259 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (/ (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (/ (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (/ (/ (cbrt (+ (fma alpha beta 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 283 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (373 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha)))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (215 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha)))) (/ (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 284 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (218 enodes)
* * [misc]simplify:  iters left: 1 (262 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))) (/ (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))) (/ (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))) (/ (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 285 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (141 enodes)
* * [misc]simplify:  iters left: 1 (170 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (+ (+ 2 beta) alpha)) (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (+ (+ 2 beta) alpha)) (cbrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (147 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (+ (+ 2 beta) alpha)) (cbrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (/ (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ 2 (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 286 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* * [misc]simplify:  iters left: 1 (263 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ beta 1.0) (fma alpha beta alpha))) (cbrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (* (cbrt (+ (+ beta 1.0) (fma alpha beta alpha))) (cbrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (+ (+ 2 beta) alpha))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (215 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (* (cbrt (+ (+ beta 1.0) (fma alpha beta alpha))) (cbrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (+ (+ 2 beta) alpha))) (/ (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 287 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (453 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta)))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (219 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 288 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (294 enodes)
* * [misc]simplify:  iters left: 1 (319 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (* (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (sqrt (+ (+ 2 beta) alpha))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (219 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (* (+ beta (+ alpha 2)) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (* (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (sqrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (* (+ beta (+ alpha 2)) (sqrt (+ beta (+ alpha 2)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 289 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (157 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (219 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (/ (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 290 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (147 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 291 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha beta) (+ alpha 1.0))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (fma beta alpha beta) (+ alpha 1.0))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (fma beta alpha beta) (+ alpha 1.0))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 292 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (141 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha beta) (+ alpha 1.0))) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (fma beta alpha beta) (+ alpha 1.0))) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (215 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (fma beta alpha beta) (+ alpha 1.0))) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 293 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (140 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 294 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (147 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ 2 (+ beta alpha))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (147 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ 2 (+ beta alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ 2 (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 295 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (215 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 296 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (219 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 297 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ alpha (+ beta 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (219 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (* (+ beta (+ alpha 2)) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ alpha (+ beta 2)))) (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (* (+ beta (+ alpha 2)) (sqrt (+ beta (+ alpha 2)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 298 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (219 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 299 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (145 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))) (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 300 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (148 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))) (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 301 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (cbrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (cbrt (+ (+ alpha beta) 2))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (212 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (cbrt (+ (+ alpha beta) 2))) (/ (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 302 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (148 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))) (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 303 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (145 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ 1 (+ (+ beta 2) alpha)) (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ alpha 2) beta))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 304 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ 1 (sqrt (+ (+ beta 2) alpha))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (212 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ 1 (sqrt (+ (+ beta 2) alpha))) (/ (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) beta)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 305 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ 1 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ beta (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ 1 (* (cbrt (+ beta (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (225 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha beta) (+ alpha 1.0)) (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ 1 (* (cbrt (+ beta (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha))))) (/ (/ (+ (fma beta alpha beta) (+ alpha 1.0)) (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 306 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ 1 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ 2 alpha) beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ 1 (sqrt (+ (+ 2 alpha) beta))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (225 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha beta) (+ alpha 1.0)) (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ 1 (sqrt (+ (+ 2 alpha) beta))) (/ (/ (+ (fma beta alpha beta) (+ alpha 1.0)) (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) beta)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 307 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ 1 1) 1) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ 1 1) 1)
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* 1 (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (208 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ beta (+ alpha 2))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* 1 (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ beta (+ alpha 2))) (+ beta (+ alpha 2)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 308 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (225 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha beta) (+ alpha 1.0)) (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (/ (+ (fma beta alpha beta) (+ alpha 1.0)) (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 309 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (225 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha beta) (+ alpha 1.0)) (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (/ (+ (fma beta alpha beta) (+ alpha 1.0)) (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) beta)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 310 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ 1 1) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* 1 (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (208 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ beta (+ alpha 2))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* 1 (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ beta (+ alpha 2))) (+ beta (+ alpha 2)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 311 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (145 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 312 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta))) (/ (/ 1 (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 313 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (+ (+ beta 1.0) (fma alpha beta alpha))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (+ (+ beta 1.0) (fma alpha beta alpha)) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (+ (+ beta 1.0) (fma alpha beta alpha)) (/ 1 (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 314 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (247 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (313 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4)) (cbrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4)) (cbrt (+ beta (+ alpha 2))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 315 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (* (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (* (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8) (sqrt (+ (+ alpha 2) beta)))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (313 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4)) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (* (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8) (sqrt (+ (+ alpha 2) beta)))) (/ (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4)) (sqrt (+ beta (+ alpha 2))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 316 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (221 enodes)
* * [misc]simplify:  iters left: 2 (493 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 beta) (fma beta alpha alpha)) (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (+ (+ 1.0 beta) (fma beta alpha alpha)) (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8)) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (317 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ beta alpha) (+ beta alpha) (fma -2 (+ beta alpha) 4)) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (+ (+ 1.0 beta) (fma beta alpha alpha)) (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8)) (/ (fma (+ beta alpha) (+ beta alpha) (fma -2 (+ beta alpha) 4)) (+ (+ alpha 2) beta))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 317 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* * [misc]simplify:  iters left: 3 (356 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (fma (+ beta alpha) (+ beta alpha) -4)) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (fma (+ beta alpha) (+ beta alpha) -4)) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))) (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (/ (- beta (- 2 alpha)) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (fma (+ beta alpha) (+ beta alpha) -4)) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))) (/ (- beta (- 2 alpha)) (cbrt (+ 2 (+ beta alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 318 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (324 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (fma (+ beta alpha) (+ beta alpha) -4)) (sqrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (fma (+ beta alpha) (+ beta alpha) -4)) (sqrt (+ alpha (+ beta 2)))) (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (/ (- beta (- 2 alpha)) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (fma (+ beta alpha) (+ beta alpha) -4)) (sqrt (+ alpha (+ beta 2)))) (/ (- beta (- 2 alpha)) (sqrt (+ 2 (+ beta alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 319 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* * [misc]simplify:  iters left: 3 (292 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (fma (+ beta alpha) (+ beta alpha) -4))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (fma (+ beta alpha) (+ beta alpha) -4)) (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (61 enodes)
* [exit]simplify:  Simplified to (/ (- alpha (- 2 beta)) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (fma (+ beta alpha) (+ beta alpha) -4)) (/ (- alpha (- 2 beta)) (+ 2 (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 320 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* 1 (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 321 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 322 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ 1 (/ (+ (+ alpha beta) (* 2 1)) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 323 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (cbrt (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (+ 2 (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 324 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 325 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ alpha beta) (* 2 1))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (+ (+ 2 alpha) beta)
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) 1) (+ (+ 2 alpha) beta)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 326 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ alpha beta) (* 2 1)) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (* (cbrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ 2 (+ beta alpha))))) (/ (+ (+ alpha beta) (* 2 1)) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 327 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ alpha beta) (* 2 1)) (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (sqrt (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (+ (+ alpha 2) beta))) (/ (+ (+ alpha beta) (* 2 1)) (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 328 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ alpha beta) (* 2 1)) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (169 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (* (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (fma alpha beta alpha) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha)))) (/ (+ (+ alpha beta) (* 2 1)) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 329 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ alpha beta) (* 2 1)) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta 1.0) (fma alpha beta alpha))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (cbrt (+ (+ beta 1.0) (fma alpha beta alpha))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ beta 1.0) (fma alpha beta alpha))))) (/ (+ (+ alpha beta) (* 2 1)) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 330 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (/ (+ (+ alpha beta) (* 2 1)) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (* (cbrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (/ (+ (+ alpha beta) (* 2 1)) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 331 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ alpha beta) (* 2 1)) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (147 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (+ (+ alpha beta) (* 2 1)) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 332 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ alpha beta) (* 2 1)) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))) (/ (+ (+ alpha beta) (* 2 1)) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 333 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (/ (+ (+ alpha beta) (* 2 1)) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))) (/ (+ (+ alpha beta) (* 2 1)) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 334 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ alpha beta) (* 2 1)) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (+ (+ alpha beta) (* 2 1)) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 335 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ alpha beta) (* 2 1)) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (+ (+ alpha beta) (* 2 1)) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 336 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ 1 1) (/ (+ (+ alpha beta) (* 2 1)) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ 1 (/ (+ (+ alpha beta) (* 2 1)) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 337 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ 1 (/ (+ (+ alpha beta) (* 2 1)) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 338 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ (+ (+ alpha beta) (* 2 1)) (/ 1 (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ (+ alpha beta) (* beta alpha)) 1.0)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (+ (fma alpha beta alpha) (+ beta 1.0))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (/ (+ (+ alpha beta) (* 2 1)) (/ 1 (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 339 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (/ (+ (+ alpha beta) (* 2 1)) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (365 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8)) (/ (+ (+ alpha beta) (* 2 1)) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 340 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (/ (+ (+ alpha beta) (* 2 1)) (- (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (224 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (fma (+ beta alpha) (+ beta alpha) -4))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (fma (+ beta alpha) (+ beta alpha) -4)) (/ (+ (+ alpha beta) (* 2 1)) (- (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 341 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 342 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (- (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (+ alpha beta) (* 2 1))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (27 enodes)
* [exit]simplify:  Simplified to (- beta (- 2 alpha))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (- beta (- 2 alpha))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 343 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ (+ alpha beta) (* beta alpha)) 1.0)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (+ (fma alpha beta alpha) (+ beta 1.0))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 344 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (log1p (expm1 (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 345 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (expm1 (log1p (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 346 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (fma (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))) 1.0)))>
* [enter]simplify:  Simplifying (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (fma (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2)))) (cbrt (+ (+ alpha beta) (* 2 1))) 1.0)))
* * * * [misc]progress:  [ 347 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (fma (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (fma (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ alpha beta) (* 2 1))) 1.0)))
* * * * [misc]progress:  [ 348 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (fma 1 (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 349 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (pow (+ (+ (+ alpha beta) (* 2 1)) 1.0) 1)))>
* * * * [misc]progress:  [ 350 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (exp (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 351 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (log (exp (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 352 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (* (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 353 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (* (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 354 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (* (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 355 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/ (+ (pow (+ (+ alpha beta) (* 2 1)) 3) (pow 1.0 3)) (+ (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* 2 1)) 1.0))))))>
* * * * [misc]progress:  [ 356 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (* 1 (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* * * * [misc]progress:  [ 357 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/ (- (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (* 1.0 1.0)) (- (+ (+ alpha beta) (* 2 1)) 1.0))))>
* * * * [misc]progress:  [ 358 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (+ alpha beta)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ beta alpha)
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ beta alpha) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 359 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ 1.0 (+ (+ alpha beta) (* 2 1)))))>
* * * * [misc]progress:  [ 360 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (+ (* 0.25 alpha) (+ (* 0.25 beta) 0.5)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (+ (* 0.25 alpha) (+ (* 0.25 beta) 0.5))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (fma (+ alpha beta) 0.25 0.5)
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (fma (+ alpha beta) 0.25 0.5) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 361 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (- (+ (* 2.0 (/ 1 (pow alpha 2))) 1) (* 1.0 (/ 1 alpha))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (+ (* 2.0 (/ 1 (pow alpha 2))) 1) (* 1.0 (/ 1 alpha)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (227 enodes)
* [exit]simplify:  Simplified to (fma (/ 1 alpha) (- (/ 2.0 alpha) 1.0) 1)
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (fma (/ 1 alpha) (- (/ 2.0 alpha) 1.0) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 362 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (- (+ (* 2.0 (/ 1 (pow alpha 2))) 1) (* 1.0 (/ 1 alpha))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (+ (* 2.0 (/ 1 (pow alpha 2))) 1) (* 1.0 (/ 1 alpha)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (227 enodes)
* [exit]simplify:  Simplified to (fma (/ 1 alpha) (- (/ 2.0 alpha) 1.0) 1)
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (fma (/ 1 alpha) (- (/ 2.0 alpha) 1.0) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 363 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (- 0.08333333333333333 (+ (* 0.027777777777777776 alpha) (* 0.027777777777777776 beta))))>
* [enter]simplify:  Simplifying (- 0.08333333333333333 (+ (* 0.027777777777777776 alpha) (* 0.027777777777777776 beta)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (fma (+ alpha beta) (- 0.027777777777777776) 0.08333333333333333)
* [misc]simplify:  Simplified (2) to (λ (alpha beta) (fma (+ alpha beta) (- 0.027777777777777776) 0.08333333333333333))
* * * * [misc]progress:  [ 364 / 371 ] simplifiying candidate #<alt (λ (alpha beta) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (alpha beta) 0)
* * * * [misc]progress:  [ 365 / 371 ] simplifiying candidate #<alt (λ (alpha beta) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (alpha beta) 0)
* * * * [misc]progress:  [ 366 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (- (+ 0.25 (* 0.125 (* beta alpha))) (* 0.0625 (pow alpha 2))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (+ 0.25 (* 0.125 (* beta alpha))) (* 0.0625 (pow alpha 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (148 enodes)
* * [misc]simplify:  iters left: 1 (171 enodes)
* [exit]simplify:  Simplified to (fma (- (* beta 0.125) (* alpha 0.0625)) alpha 0.25)
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (fma (- (* beta 0.125) (* alpha 0.0625)) alpha 0.25) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 367 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ 0 (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ 0 (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 368 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ 0 (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ 0 (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 369 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ alpha (+ beta 3.0))))>
* [enter]simplify:  Simplifying (+ alpha (+ beta 3.0))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (+ (+ beta alpha) 3.0)
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ beta alpha) 3.0)))
* * * * [misc]progress:  [ 370 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ beta (+ 3.0 alpha))))>
* [enter]simplify:  Simplifying (+ beta (+ 3.0 alpha))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (+ (+ 3.0 beta) alpha)
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ 3.0 beta) alpha)))
* * * * [misc]progress:  [ 371 / 371 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ beta (+ 3.0 alpha))))>
* [enter]simplify:  Simplifying (+ beta (+ 3.0 alpha))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (+ (+ 3.0 beta) alpha)
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ 3.0 beta) alpha)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ alpha beta) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (+ 2 alpha)) into (/ 1 (+ 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (+ beta 2)) into (/ 1 (+ beta 2))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (+ beta 2)) into (/ 1 (+ beta 2))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (* (+ beta 1.0) (/ 1 (+ beta 2))) into (/ (+ beta 1.0) (+ beta 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ beta 1.0) (+ beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ 1.0 2) into 0.5
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ beta 2)) (/ 1 (+ beta 2))))) into (- (/ 1 (pow (+ beta 2) 2)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 1 beta) into (+ beta 1)
* [misc]backup-simplify:  Simplify (+ (+ beta 1) 0) into (+ beta 1)
* [misc]backup-simplify:  Simplify (+ (* (+ beta 1.0) (- (/ 1 (pow (+ beta 2) 2)))) (* (+ beta 1) (/ 1 (+ beta 2)))) into (- (+ (/ beta (+ beta 2)) (/ 1 (+ beta 2))) (+ (* 1.0 (/ 1 (pow (+ beta 2) 2))) (/ beta (pow (+ beta 2) 2))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ beta (+ beta 2)) (/ 1 (+ beta 2))) (+ (* 1.0 (/ 1 (pow (+ beta 2) 2))) (/ beta (pow (+ beta 2) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (+ beta 2)) (/ 1 (+ beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (+ beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (pow (+ beta 2) 2))) (/ beta (pow (+ beta 2) 2))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (pow (+ beta 2) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ beta 2) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]taylor:  Taking taylor expansion of (/ beta (pow (+ beta 2) 2)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]backup-simplify:  Simplify (+ 0 1/2) into 1/2
* [misc]backup-simplify:  Simplify (* 1.0 1/4) into 0.25
* [misc]backup-simplify:  Simplify (+ 0.25 0) into 0.25
* [misc]backup-simplify:  Simplify (- 0.25) into (- 0.25)
* [misc]backup-simplify:  Simplify (+ 1/2 (- 0.25)) into 0.25
* [misc]backup-simplify:  Simplify 0.25 into 0.25
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 2) (+ (* 0.5 (/ 1 2)))) into 0.25
* [misc]backup-simplify:  Simplify 0.25 into 0.25
* [misc]backup-simplify:  Simplify (+ (* 0.25 (* beta 1)) (+ (* 0.25 (* 1 alpha)) 0.5)) into (+ (* 0.25 alpha) (+ (* 0.25 beta) 0.5))
* [misc]approximate:  Taking taylor expansion of (* (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 1) 0) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1) 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 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [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 (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (+ (/ 1 beta) 2) 1)))) into (- (+ (/ 1 beta) 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 1.0) into (+ (/ 1 beta) 1.0)
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) 1) (- (+ (/ 1 beta) 2))) (* (+ (/ 1 beta) 1.0) 1)) into (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 beta)) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 beta)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [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 into 0
* [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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 beta) 2)) (/ (+ (/ 1 beta) 2) 1)))) into (+ (/ 1 (pow beta 2)) (+ (* 4 (/ 1 beta)) 4))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 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 (+ (* (+ (/ 1 beta) 1) (+ (/ 1 (pow beta 2)) (+ (* 4 (/ 1 beta)) 4))) (+ (* (+ (/ 1 beta) 1.0) (- (+ (/ 1 beta) 2))) (* 0 1))) into (+ (* 5.0 (/ 1 beta)) (+ (* 4 (/ 1 (pow beta 2))) (+ (/ 1 (pow beta 3)) 2.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 5.0 (/ 1 beta)) (+ (* 4 (/ 1 (pow beta 2))) (+ (/ 1 (pow beta 3)) 2.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* 5.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 5.0 in beta
* [misc]backup-simplify:  Simplify 5.0 into 5.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ 1 (pow beta 2))) (+ (/ 1 (pow beta 3)) 2.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* 4 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow beta 3)) 2.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (+ (* 2.0 (pow (* 1 (/ 1 alpha)) 2)) (+ (* (- 1.0) (* 1 (/ 1 alpha))) 1)) into (- (+ (* 2.0 (/ 1 (pow alpha 2))) 1) (* 1.0 (/ 1 alpha)))
* [misc]approximate:  Taking taylor expansion of (* (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (* (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* -1 (- (/ 1 beta) 1)) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) 1) 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 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 -1) (* 0 1)) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ (- 2 (/ 1 beta)) -1)))) into (- (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 0) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 1.0) into (- 1.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 beta) 1) (- (/ 1 beta) 2)) (* (- 1.0 (/ 1 beta)) -1)) into (- (+ (/ 1 (pow beta 2)) 1.0) (* 2 (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (pow beta 2)) 1.0) (* 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow beta 2)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [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) (+ (* 0 -1) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 beta) 2) (/ (- 2 (/ 1 beta)) -1)))) into (- (* 4 (/ 1 beta)) (+ (/ 1 (pow beta 2)) 4))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) 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 (+ (* (/ -1 beta) 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 (+ (* (- (/ 1 beta) 1) (- (* 4 (/ 1 beta)) (+ (/ 1 (pow beta 2)) 4))) (+ (* (- 1.0 (/ 1 beta)) (- (/ 1 beta) 2)) (* 0 -1))) into (- (+ (* 4 (/ 1 (pow beta 2))) 2.0) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (/ 1 (pow beta 2))) 2.0) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ 1 (pow beta 2))) 2.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 4 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of (* 5.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 5.0 in beta
* [misc]backup-simplify:  Simplify 5.0 into 5.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 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 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 2.0) into 2.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 2.0 0) into 2.0
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]backup-simplify:  Simplify (+ (* 2.0 (pow (* 1 (/ 1 (- alpha))) 2)) (+ (* 1.0 (* 1 (/ 1 (- alpha)))) 1)) into (- (+ (* 2.0 (/ 1 (pow alpha 2))) 1) (* 1.0 (/ 1 alpha)))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ alpha beta) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (+ 2 alpha)) into (/ 1 (+ 2 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 1.0) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (* (+ 1.0 alpha) (/ 1 (+ 2 alpha))) into (/ (+ 1.0 alpha) (+ 2 alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (/ (/ (+ 1.0 alpha) (+ 2 alpha)) (+ 2 alpha)) into (/ (+ 1.0 alpha) (pow (+ 2 alpha) 2))
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* 2 1)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (+ (+ 2 alpha) 1.0) into (+ 3.0 alpha)
* [misc]backup-simplify:  Simplify (/ (/ (+ 1.0 alpha) (pow (+ 2 alpha) 2)) (+ 3.0 alpha)) into (/ (+ 1.0 alpha) (* (pow (+ 2 alpha) 2) (+ 3.0 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (+ beta 2)) into (/ 1 (+ beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (* (+ beta 1.0) (/ 1 (+ beta 2))) into (/ (+ beta 1.0) (+ beta 2))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ (/ (+ beta 1.0) (+ beta 2)) (+ beta 2)) into (/ (+ beta 1.0) (pow (+ beta 2) 2))
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (+ (+ beta 2) 1.0) into (+ beta 3.0)
* [misc]backup-simplify:  Simplify (/ (/ (+ beta 1.0) (pow (+ beta 2) 2)) (+ beta 3.0)) into (/ (+ beta 1.0) (* (pow (+ beta 2) 2) (+ beta 3.0)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (+ beta 2)) into (/ 1 (+ beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (* (+ beta 1.0) (/ 1 (+ beta 2))) into (/ (+ beta 1.0) (+ beta 2))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ (/ (+ beta 1.0) (+ beta 2)) (+ beta 2)) into (/ (+ beta 1.0) (pow (+ beta 2) 2))
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (+ (+ beta 2) 1.0) into (+ beta 3.0)
* [misc]backup-simplify:  Simplify (/ (/ (+ beta 1.0) (pow (+ beta 2) 2)) (+ beta 3.0)) into (/ (+ beta 1.0) (* (pow (+ beta 2) 2) (+ beta 3.0)))
* [misc]taylor:  Taking taylor expansion of (/ (+ beta 1.0) (* (pow (+ beta 2) 2) (+ beta 3.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 2) (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* 4 3.0) into 12.0
* [misc]backup-simplify:  Simplify (/ 1.0 12.0) into 0.08333333333333333
* [misc]backup-simplify:  Simplify 0.08333333333333333 into 0.08333333333333333
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ beta 2)) (/ 1 (+ beta 2))))) into (- (/ 1 (pow (+ beta 2) 2)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 1 beta) into (+ beta 1)
* [misc]backup-simplify:  Simplify (+ (+ beta 1) 0) into (+ beta 1)
* [misc]backup-simplify:  Simplify (+ (* (+ beta 1.0) (- (/ 1 (pow (+ beta 2) 2)))) (* (+ beta 1) (/ 1 (+ beta 2)))) into (- (+ (/ beta (+ beta 2)) (/ 1 (+ beta 2))) (+ (* 1.0 (/ 1 (pow (+ beta 2) 2))) (/ beta (pow (+ beta 2) 2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ beta (+ beta 2)) (/ 1 (+ beta 2))) (+ (* 1.0 (/ 1 (pow (+ beta 2) 2))) (/ beta (pow (+ beta 2) 2)))) (+ beta 2)) (+ (* (/ (+ beta 1.0) (pow (+ beta 2) 2)) (/ 1 (+ beta 2))))) into (- (+ (/ 1 (pow (+ beta 2) 2)) (/ beta (pow (+ beta 2) 2))) (+ (* 2.0 (/ 1 (pow (+ beta 2) 3))) (* 2 (/ beta (pow (+ beta 2) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 (pow (+ beta 2) 2)) (/ beta (pow (+ beta 2) 2))) (+ (* 2.0 (/ 1 (pow (+ beta 2) 3))) (* 2 (/ beta (pow (+ beta 2) 3))))) (+ beta 3.0)) (+ (* (/ (+ beta 1.0) (* (pow (+ beta 2) 2) (+ beta 3.0))) (/ 1 (+ beta 3.0))))) into (- (+ (/ beta (* (pow (+ beta 2) 2) (+ beta 3.0))) (/ 1 (* (pow (+ beta 2) 2) (+ beta 3.0)))) (+ (* 2 (/ beta (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ beta (* (pow (+ beta 2) 2) (+ beta 3.0))) (/ 1 (* (pow (+ beta 2) 2) (+ beta 3.0)))) (+ (* 2 (/ beta (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (* (pow (+ beta 2) 2) (+ beta 3.0))) (/ 1 (* (pow (+ beta 2) 2) (+ beta 3.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (* (pow (+ beta 2) 2) (+ beta 3.0))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 2) (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* 4 3.0) into 12.0
* [misc]backup-simplify:  Simplify (/ 1 12.0) into 0.08333333333333333
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ beta 2) 2) (+ beta 3.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 2) (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* 4 3.0) into 12.0
* [misc]backup-simplify:  Simplify (/ 1 12.0) into 0.08333333333333333
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ beta (* (pow (+ beta 2) 3) (+ beta 3.0)))) (+ (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ beta (* (pow (+ beta 2) 3) (+ beta 3.0)))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ beta (* (pow (+ beta 2) 3) (+ beta 3.0))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 3) (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 2 4) into 8
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* 8 3.0) into 24.0
* [misc]backup-simplify:  Simplify (/ 1 24.0) into 0.041666666666666664
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2)))) (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 3.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 3.0 3.0) into 9.0
* [misc]backup-simplify:  Simplify (* 4 9.0) into 36.0
* [misc]backup-simplify:  Simplify (/ 1 36.0) into 0.027777777777777776
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ beta (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 2) (pow (+ beta 3.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 3.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 3.0 3.0) into 9.0
* [misc]backup-simplify:  Simplify (* 4 9.0) into 36.0
* [misc]backup-simplify:  Simplify (/ 1 36.0) into 0.027777777777777776
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (* (pow (+ beta 2) 3) (+ beta 3.0)))) in beta
* [misc]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 (* (pow (+ beta 2) 3) (+ beta 3.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 3) (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 2 4) into 8
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* 8 3.0) into 24.0
* [misc]backup-simplify:  Simplify (/ 1 24.0) into 0.041666666666666664
* [misc]backup-simplify:  Simplify (+ 0 0.08333333333333333) into 0.08333333333333333
* [misc]backup-simplify:  Simplify (* 1.0 0.027777777777777776) into 0.027777777777777776
* [misc]backup-simplify:  Simplify (* 2.0 0.041666666666666664) into 0.08333333333333333
* [misc]backup-simplify:  Simplify (+ 0 0.08333333333333333) into 0.08333333333333333
* [misc]backup-simplify:  Simplify (+ 0.027777777777777776 0.08333333333333333) into 0.1111111111111111
* [misc]backup-simplify:  Simplify (+ 0 0.1111111111111111) into 0.1111111111111111
* [misc]backup-simplify:  Simplify (- 0.1111111111111111) into (- 0.1111111111111111)
* [misc]backup-simplify:  Simplify (+ 0.08333333333333333 (- 0.1111111111111111)) into (- 0.027777777777777776)
* [misc]backup-simplify:  Simplify (- 0.027777777777777776) into (- 0.027777777777777776)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 1 2)) into 4
* [misc]backup-simplify:  Simplify (+ (* 4 1) (* 4 3.0)) into 16.0
* [misc]backup-simplify:  Simplify (- (/ 1 12.0) (+ (* 0.08333333333333333 (/ 16.0 12.0)))) into (- 0.027777777777777776)
* [misc]backup-simplify:  Simplify (- 0.027777777777777776) into (- 0.027777777777777776)
* [misc]backup-simplify:  Simplify (+ (* (- 0.027777777777777776) (* beta 1)) (+ (* (- 0.027777777777777776) (* 1 alpha)) 0.08333333333333333)) into (- 0.08333333333333333 (+ (* 0.027777777777777776 alpha) (* 0.027777777777777776 beta)))
* [misc]approximate:  Taking taylor expansion of (/ (/ (* (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0)) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 alpha)) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 alpha) 1) 0) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (* (+ (/ 1 alpha) 1) 1) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 alpha) 1) 1) into (+ (/ 1 alpha) 1)
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [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 alpha) 1) 1) into (+ (/ 1 alpha) 1)
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 1) 0) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 1) 0) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1) 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 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (+ (/ 1 beta) 2) 1)))) into (- (+ (/ 1 beta) 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 1.0) into (+ (/ 1 beta) 1.0)
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) 1) (- (+ (/ 1 beta) 2))) (* (+ (/ 1 beta) 1.0) 1)) into (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 beta)) 1.0))) 1) (+ (* (+ (/ 1 beta) 1) (/ (+ (/ 1 beta) 2) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 beta)) 3.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 2) 1.0) into (+ (/ 1 beta) 3.0)
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 beta)) 3.0))) 1) (+ (* (+ (/ 1 beta) 1) (/ (+ (/ 1 beta) 3.0) 1)))) into (- (+ (* 3 (/ 1 (pow beta 2))) (+ (* 9.0 (/ 1 beta)) 6.0)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 3 (/ 1 (pow beta 2))) (+ (* 9.0 (/ 1 beta)) 6.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (pow beta 2))) (+ (* 9.0 (/ 1 beta)) 6.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 9.0 (/ 1 beta)) 6.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 9.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 9.0 in beta
* [misc]backup-simplify:  Simplify 9.0 into 9.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 6.0 in beta
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 9.0 0) (+ (* 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 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 into 0
* [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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 beta) 2)) (/ (+ (/ 1 beta) 2) 1)))) into (+ (/ 1 (pow beta 2)) (+ (* 4 (/ 1 beta)) 4))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 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 (+ (* (+ (/ 1 beta) 1) (+ (/ 1 (pow beta 2)) (+ (* 4 (/ 1 beta)) 4))) (+ (* (+ (/ 1 beta) 1.0) (- (+ (/ 1 beta) 2))) (* 0 1))) into (+ (* 5.0 (/ 1 beta)) (+ (* 4 (/ 1 (pow beta 2))) (+ (/ 1 (pow beta 3)) 2.0)))
* [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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (* 5.0 (/ 1 beta)) (+ (* 4 (/ 1 (pow beta 2))) (+ (/ 1 (pow beta 3)) 2.0))) 1) (+ (* (+ (/ 1 beta) 1) (/ 0 1)) (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 beta)) 3.0))) (/ (+ (/ 1 beta) 2) 1)))) into (+ (* 18.0 (/ 1 beta)) (+ (* 13 (/ 1 (pow beta 2))) (+ (* 3 (/ 1 (pow beta 3))) 8.0)))
* [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 (+ (* 2 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 (- (/ (+ (* 18.0 (/ 1 beta)) (+ (* 13 (/ 1 (pow beta 2))) (+ (* 3 (/ 1 (pow beta 3))) 8.0))) 1) (+ (* (+ (/ 1 beta) 1) (/ 0 1)) (* (- (+ (* 3 (/ 1 (pow beta 2))) (+ (* 9.0 (/ 1 beta)) 6.0))) (/ (+ (/ 1 beta) 3.0) 1)))) into (+ (* 51.0 (/ 1 beta)) (+ (* 31.0 (/ 1 (pow beta 2))) (+ (* 6 (/ 1 (pow beta 3))) 26.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 51.0 (/ 1 beta)) (+ (* 31.0 (/ 1 (pow beta 2))) (+ (* 6 (/ 1 (pow beta 3))) 26.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* 51.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 51.0 in beta
* [misc]backup-simplify:  Simplify 51.0 into 51.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 31.0 (/ 1 (pow beta 2))) (+ (* 6 (/ 1 (pow beta 3))) 26.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* 31.0 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 31.0 in beta
* [misc]backup-simplify:  Simplify 31.0 into 31.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (pow beta 3))) 26.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of 6 in beta
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 26.0 in beta
* [misc]backup-simplify:  Simplify 26.0 into 26.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 51.0 0) (+ (* 0 0) (+ (* 0 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* 31.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 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 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* 9.0 0) (+ (* 0 0) (+ (* 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 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (/ (* (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0)) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 alpha)) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha) 1) 0) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (* (- (/ 1 alpha) 1) -1) into (* -1 (- (/ 1 alpha) 1))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (* -1 (- (/ 1 alpha) 1)) -1) into (- (/ 1 alpha) 1)
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [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 alpha) 1) -1) into (* -1 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (* (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (* -1 (- (/ 1 beta) 1)) -1) into (- (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (* (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (* (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (* -1 (- (/ 1 beta) 1)) -1) into (- (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* -1 (- (/ 1 beta) 1)) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) 1) 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 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [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 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) 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 (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ (- 2 (/ 1 beta)) -1)))) into (- (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 0) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 1.0) into (- 1.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 beta) 1) (- (/ 1 beta) 2)) (* (- 1.0 (/ 1 beta)) -1)) into (- (+ (/ 1 (pow beta 2)) 1.0) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 (pow beta 2)) 1.0) (* 2 (/ 1 beta))) -1) (+ (* (- (/ 1 beta) 1) (/ (- 2 (/ 1 beta)) -1)))) into (- (* 5 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) 3.0))
* [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 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (- 2 (/ 1 beta)) 1.0) into (- 3.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (- (* 5 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) 3.0)) -1) (+ (* (* -1 (- (/ 1 beta) 1)) (/ (- 3.0 (/ 1 beta)) -1)))) into (- (+ (* 3 (/ 1 (pow beta 2))) 6.0) (* 9.0 (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 3 (/ 1 (pow beta 2))) 6.0) (* 9.0 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (pow beta 2))) 6.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 6.0 in beta
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (* 9.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 9.0 in beta
* [misc]backup-simplify:  Simplify 9.0 into 9.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 9.0 0) (+ (* 0 0) (+ (* 0 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 (- (+ (* 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 beta) 2) (/ (- 2 (/ 1 beta)) -1)))) into (- (* 4 (/ 1 beta)) (+ (/ 1 (pow beta 2)) 4))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) 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 (+ (* (/ -1 beta) 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 (+ (* (- (/ 1 beta) 1) (- (* 4 (/ 1 beta)) (+ (/ 1 (pow beta 2)) 4))) (+ (* (- 1.0 (/ 1 beta)) (- (/ 1 beta) 2)) (* 0 -1))) into (- (+ (* 4 (/ 1 (pow beta 2))) 2.0) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) 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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 4 (/ 1 (pow beta 2))) 2.0) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3)))) -1) (+ (* (- (/ 1 beta) 1) (/ 0 -1)) (* (- (* 5 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) 3.0)) (/ (- 2 (/ 1 beta)) -1)))) into (- (+ (* 3 (/ 1 (pow beta 3))) (* 18.0 (/ 1 beta))) (+ (* 13 (/ 1 (pow beta 2))) 8.0))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 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 (- (/ (- (+ (* 3 (/ 1 (pow beta 3))) (* 18.0 (/ 1 beta))) (+ (* 13 (/ 1 (pow beta 2))) 8.0)) -1) (+ (* (* -1 (- (/ 1 beta) 1)) (/ 0 -1)) (* (- (+ (* 3 (/ 1 (pow beta 2))) 6.0) (* 9.0 (/ 1 beta))) (/ (- 3.0 (/ 1 beta)) -1)))) into (- (+ (* 31.0 (/ 1 (pow beta 2))) 26.0) (+ (* 51.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 31.0 (/ 1 (pow beta 2))) 26.0) (+ (* 51.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 31.0 (/ 1 (pow beta 2))) 26.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 31.0 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 31.0 in beta
* [misc]backup-simplify:  Simplify 31.0 into 31.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 26.0 in beta
* [misc]backup-simplify:  Simplify 26.0 into 26.0
* [misc]taylor:  Taking taylor expansion of (+ (* 51.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 51.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 51.0 in beta
* [misc]backup-simplify:  Simplify 51.0 into 51.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of 6 in beta
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* 31.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 51.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 9.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ alpha beta) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (+ 2 alpha)) into (/ 1 (+ 2 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 1.0) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (* (+ 1.0 alpha) (/ 1 (+ 2 alpha))) into (/ (+ 1.0 alpha) (+ 2 alpha))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (/ (/ (+ 1.0 alpha) (+ 2 alpha)) (+ 2 alpha)) into (/ (+ 1.0 alpha) (pow (+ 2 alpha) 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (+ beta 2)) into (/ 1 (+ beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (* (+ beta 1.0) (/ 1 (+ beta 2))) into (/ (+ beta 1.0) (+ beta 2))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ (/ (+ beta 1.0) (+ beta 2)) (+ beta 2)) into (/ (+ beta 1.0) (pow (+ beta 2) 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ alpha beta) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (+ beta 2)) into (/ 1 (+ beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (* (+ beta 1.0) (/ 1 (+ beta 2))) into (/ (+ beta 1.0) (+ beta 2))
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ (/ (+ beta 1.0) (+ beta 2)) (+ beta 2)) into (/ (+ beta 1.0) (pow (+ beta 2) 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ beta 1.0) (pow (+ beta 2) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (/ 1.0 4) into 0.25
* [misc]backup-simplify:  Simplify 0.25 into 0.25
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ beta 2)) (/ 1 (+ beta 2))))) into (- (/ 1 (pow (+ beta 2) 2)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 1 beta) into (+ beta 1)
* [misc]backup-simplify:  Simplify (+ (+ beta 1) 0) into (+ beta 1)
* [misc]backup-simplify:  Simplify (+ (* (+ beta 1.0) (- (/ 1 (pow (+ beta 2) 2)))) (* (+ beta 1) (/ 1 (+ beta 2)))) into (- (+ (/ beta (+ beta 2)) (/ 1 (+ beta 2))) (+ (* 1.0 (/ 1 (pow (+ beta 2) 2))) (/ beta (pow (+ beta 2) 2))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ beta (+ beta 2)) (/ 1 (+ beta 2))) (+ (* 1.0 (/ 1 (pow (+ beta 2) 2))) (/ beta (pow (+ beta 2) 2)))) (+ beta 2)) (+ (* (/ (+ beta 1.0) (pow (+ beta 2) 2)) (/ 1 (+ beta 2))))) into (- (+ (/ 1 (pow (+ beta 2) 2)) (/ beta (pow (+ beta 2) 2))) (+ (* 2.0 (/ 1 (pow (+ beta 2) 3))) (* 2 (/ beta (pow (+ beta 2) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (pow (+ beta 2) 2)) (/ beta (pow (+ beta 2) 2))) (+ (* 2.0 (/ 1 (pow (+ beta 2) 3))) (* 2 (/ beta (pow (+ beta 2) 3))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow (+ beta 2) 2)) (/ beta (pow (+ beta 2) 2))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ beta 2) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]taylor:  Taking taylor expansion of (/ beta (pow (+ beta 2) 2)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 2) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (pow (+ beta 2) 3))) (* 2 (/ beta (pow (+ beta 2) 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (pow (+ beta 2) 3))) in beta
* [misc]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 (pow (+ beta 2) 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 2 4) into 8
* [misc]backup-simplify:  Simplify (/ 1 8) into 1/8
* [misc]taylor:  Taking taylor expansion of (* 2 (/ beta (pow (+ beta 2) 3))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ beta (pow (+ beta 2) 3)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 2 4) into 8
* [misc]backup-simplify:  Simplify (/ 1 8) into 1/8
* [misc]backup-simplify:  Simplify (+ 1/4 0) into 1/4
* [misc]backup-simplify:  Simplify (* 2.0 1/8) into 0.25
* [misc]backup-simplify:  Simplify (+ 0.25 0) into 0.25
* [misc]backup-simplify:  Simplify (- 0.25) into (- 0.25)
* [misc]backup-simplify:  Simplify (+ 1/4 (- 0.25)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 1 2)) into 4
* [misc]backup-simplify:  Simplify (- (/ 1 4) (+ (* 0.25 (/ 4 4)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ beta 2)) (/ 0 (+ beta 2))) (* (- (/ 1 (pow (+ beta 2) 2))) (/ 1 (+ beta 2))))) into (/ 1 (pow (+ beta 2) 3))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 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 (+ (* (+ beta 1.0) (/ 1 (pow (+ beta 2) 3))) (+ (* (+ beta 1) (- (/ 1 (pow (+ beta 2) 2)))) (* 0 (/ 1 (+ beta 2))))) into (- (+ (* 1.0 (/ 1 (pow (+ beta 2) 3))) (/ beta (pow (+ beta 2) 3))) (+ (/ 1 (pow (+ beta 2) 2)) (/ beta (pow (+ beta 2) 2))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 1.0 (/ 1 (pow (+ beta 2) 3))) (/ beta (pow (+ beta 2) 3))) (+ (/ 1 (pow (+ beta 2) 2)) (/ beta (pow (+ beta 2) 2)))) (+ beta 2)) (+ (* (/ (+ beta 1.0) (pow (+ beta 2) 2)) (/ 0 (+ beta 2))) (* (- (+ (/ 1 (pow (+ beta 2) 2)) (/ beta (pow (+ beta 2) 2))) (+ (* 2.0 (/ 1 (pow (+ beta 2) 3))) (* 2 (/ beta (pow (+ beta 2) 3))))) (/ 1 (+ beta 2))))) into (- (+ (* 3.0 (/ 1 (pow (+ beta 2) 4))) (* 3 (/ beta (pow (+ beta 2) 4)))) (+ (* 2 (/ 1 (pow (+ beta 2) 3))) (* 2 (/ beta (pow (+ beta 2) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 3.0 (/ 1 (pow (+ beta 2) 4))) (* 3 (/ beta (pow (+ beta 2) 4)))) (+ (* 2 (/ 1 (pow (+ beta 2) 3))) (* 2 (/ beta (pow (+ beta 2) 3))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 3.0 (/ 1 (pow (+ beta 2) 4))) (* 3 (/ beta (pow (+ beta 2) 4)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3.0 (/ 1 (pow (+ beta 2) 4))) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ beta 2) 4)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 4) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 4 4) into 16
* [misc]backup-simplify:  Simplify (/ 1 16) into 1/16
* [misc]taylor:  Taking taylor expansion of (* 3 (/ beta (pow (+ beta 2) 4))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ beta (pow (+ beta 2) 4)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 4) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 4 4) into 16
* [misc]backup-simplify:  Simplify (/ 1 16) into 1/16
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (pow (+ beta 2) 3))) (* 2 (/ beta (pow (+ beta 2) 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow (+ beta 2) 3))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ beta 2) 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 2 4) into 8
* [misc]backup-simplify:  Simplify (/ 1 8) into 1/8
* [misc]taylor:  Taking taylor expansion of (* 2 (/ beta (pow (+ beta 2) 3))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ beta (pow (+ beta 2) 3)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 2 4) into 8
* [misc]backup-simplify:  Simplify (/ 1 8) into 1/8
* [misc]backup-simplify:  Simplify (* 3.0 1/16) into 0.1875
* [misc]backup-simplify:  Simplify (+ 0.1875 0) into 0.1875
* [misc]backup-simplify:  Simplify (* 2 1/8) into 1/4
* [misc]backup-simplify:  Simplify (+ 1/4 0) into 1/4
* [misc]backup-simplify:  Simplify (- 1/4) into -1/4
* [misc]backup-simplify:  Simplify (+ 0.1875 -1/4) into (- 0.0625)
* [misc]backup-simplify:  Simplify (- 0.0625) into (- 0.0625)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 1 2)) into 4
* [misc]backup-simplify:  Simplify (- (+ (* 1/4 (/ 4 4)))) into -1/4
* [misc]backup-simplify:  Simplify (+ -1/4 1/4) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 1 2)) into 4
* [misc]backup-simplify:  Simplify (+ (* 2 4) (* 1 4)) into 12
* [misc]backup-simplify:  Simplify (- (+ (* 1/8 (/ 12 8)))) into -3/16
* [misc]backup-simplify:  Simplify (+ (* 2.0 -3/16) (* 0 1/8)) into (- 0.375)
* [misc]backup-simplify:  Simplify (* 2 1/8) into 1/4
* [misc]backup-simplify:  Simplify (+ (- 0.375) 1/4) into (- 0.125)
* [misc]backup-simplify:  Simplify (- (- 0.125)) into 0.125
* [misc]backup-simplify:  Simplify (+ 0 0.125) into 0.125
* [misc]backup-simplify:  Simplify 0.125 into 0.125
* [misc]backup-simplify:  Simplify (+ (* 0.125 (* beta alpha)) (+ (* (- 0.0625) (pow (* 1 alpha) 2)) 0.25)) into (- (+ 0.25 (* 0.125 (* beta alpha))) (* 0.0625 (pow alpha 2)))
* [misc]approximate:  Taking taylor expansion of (/ (* (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 alpha)) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 alpha) 1) 0) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (* (+ (/ 1 alpha) 1) 1) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 alpha) 1) 1) into (+ (/ 1 alpha) 1)
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 1) 0) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 1) 0) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) 1) into (+ (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1) 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 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [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 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (+ (/ 1 beta) 2) 1)))) into (- (+ (/ 1 beta) 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 1.0) into (+ (/ 1 beta) 1.0)
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) 1) (- (+ (/ 1 beta) 2))) (* (+ (/ 1 beta) 1.0) 1)) into (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 beta)) 1.0))) 1) (+ (* (+ (/ 1 beta) 1) (/ (+ (/ 1 beta) 2) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 beta)) 3.0)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 beta)) 3.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 beta)) 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 5 (/ 1 beta)) 3.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 5 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 5 in beta
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (+ (* 5 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 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 (- (+ (* 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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 beta) 2)) (/ (+ (/ 1 beta) 2) 1)))) into (+ (/ 1 (pow beta 2)) (+ (* 4 (/ 1 beta)) 4))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 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 (+ (* (+ (/ 1 beta) 1) (+ (/ 1 (pow beta 2)) (+ (* 4 (/ 1 beta)) 4))) (+ (* (+ (/ 1 beta) 1.0) (- (+ (/ 1 beta) 2))) (* 0 1))) into (+ (* 5.0 (/ 1 beta)) (+ (* 4 (/ 1 (pow beta 2))) (+ (/ 1 (pow beta 3)) 2.0)))
* [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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (* 5.0 (/ 1 beta)) (+ (* 4 (/ 1 (pow beta 2))) (+ (/ 1 (pow beta 3)) 2.0))) 1) (+ (* (+ (/ 1 beta) 1) (/ 0 1)) (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 beta)) 3.0))) (/ (+ (/ 1 beta) 2) 1)))) into (+ (* 18.0 (/ 1 beta)) (+ (* 13 (/ 1 (pow beta 2))) (+ (* 3 (/ 1 (pow beta 3))) 8.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 18.0 (/ 1 beta)) (+ (* 13 (/ 1 (pow beta 2))) (+ (* 3 (/ 1 (pow beta 3))) 8.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* 18.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 18.0 in beta
* [misc]backup-simplify:  Simplify 18.0 into 18.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 13 (/ 1 (pow beta 2))) (+ (* 3 (/ 1 (pow beta 3))) 8.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* 13 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 13 in beta
* [misc]backup-simplify:  Simplify 13 into 13
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (pow beta 3))) 8.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 8.0 in beta
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [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 (+ (* 18.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* 13 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* 3 0) (+ (* 0 0) (+ (* 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 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (+ (* 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 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 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (* (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 alpha)) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha) 1) 0) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (* (- (/ 1 alpha) 1) -1) into (* -1 (- (/ 1 alpha) 1))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (* -1 (- (/ 1 alpha) 1)) -1) into (- (/ 1 alpha) 1)
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (* (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (* -1 (- (/ 1 beta) 1)) -1) into (- (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (/ (* (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (* (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (* -1 (- (/ 1 beta) 1)) -1) into (- (/ 1 beta) 1)
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) 1) 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 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [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) 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 (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ (- 2 (/ 1 beta)) -1)))) into (- (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 0) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 1.0) into (- 1.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 beta) 1) (- (/ 1 beta) 2)) (* (- 1.0 (/ 1 beta)) -1)) into (- (+ (/ 1 (pow beta 2)) 1.0) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 (pow beta 2)) 1.0) (* 2 (/ 1 beta))) -1) (+ (* (- (/ 1 beta) 1) (/ (- 2 (/ 1 beta)) -1)))) into (- (* 5 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) 3.0))
* [misc]taylor:  Taking taylor expansion of (- (* 5 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* 5 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 5 in beta
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 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 (/ 1 (pow beta 2))) 3.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [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 (+ (* 5 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 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 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 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 beta) 2) (/ (- 2 (/ 1 beta)) -1)))) into (- (* 4 (/ 1 beta)) (+ (/ 1 (pow beta 2)) 4))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) 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 (+ (* (/ -1 beta) 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 (+ (* (- (/ 1 beta) 1) (- (* 4 (/ 1 beta)) (+ (/ 1 (pow beta 2)) 4))) (+ (* (- 1.0 (/ 1 beta)) (- (/ 1 beta) 2)) (* 0 -1))) into (- (+ (* 4 (/ 1 (pow beta 2))) 2.0) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) 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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 4 (/ 1 (pow beta 2))) 2.0) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3)))) -1) (+ (* (- (/ 1 beta) 1) (/ 0 -1)) (* (- (* 5 (/ 1 beta)) (+ (* 2 (/ 1 (pow beta 2))) 3.0)) (/ (- 2 (/ 1 beta)) -1)))) into (- (+ (* 3 (/ 1 (pow beta 3))) (* 18.0 (/ 1 beta))) (+ (* 13 (/ 1 (pow beta 2))) 8.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 3 (/ 1 (pow beta 3))) (* 18.0 (/ 1 beta))) (+ (* 13 (/ 1 (pow beta 2))) 8.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ 1 (pow beta 3))) (* 18.0 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 18.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 18.0 in beta
* [misc]backup-simplify:  Simplify 18.0 into 18.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 13 (/ 1 (pow beta 2))) 8.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 13 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 13 in beta
* [misc]backup-simplify:  Simplify 13 into 13
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 8.0 in beta
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) 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 (+ (* 18.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* 13 0) (+ (* 0 0) (+ (* 0 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 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 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 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (+ (+ (+ alpha beta) (* 2 1)) 1.0) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* 2 1)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ alpha beta) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (+ (+ beta 2) 1.0) into (+ beta 3.0)
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (* beta 1)) (+ (* 1 (* 1 alpha)) 3.0)) into (+ alpha (+ beta 3.0))
* [misc]approximate:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [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 (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 2) 1.0) into (+ (/ 1 beta) 3.0)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 3.0) 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 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 1 0) 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)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 3.0 (+ (* 1 (* 1 (/ 1 (/ 1 alpha)))) (* 1 (* (/ 1 (/ 1 beta)) 1)))) into (+ beta (+ 3.0 alpha))
* [misc]approximate:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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 (* 2 1) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 2 1) into 2
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (- 2 (/ 1 beta)) 1.0) into (- 3.0 (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (- 3.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify -1 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 (- 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 (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 3.0 0) into 3.0
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 3.0 (+ (* -1 (* 1 (/ 1 (/ 1 (- alpha))))) (* -1 (* (/ 1 (/ 1 (- beta))) 1)))) into (+ beta (+ 3.0 alpha))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (log1p (expm1 (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 2 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (expm1 (log1p (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 3 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (pow (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (241 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (pow (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha))) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 4 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (pow (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 5 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (exp (+ (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (- (log (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (+ (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (- (log (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (147 enodes)
* [exit]simplify:  Simplified to (- (log (+ (+ beta 1.0) (fma alpha beta alpha))) (log (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (exp (- (log (+ (+ beta 1.0) (fma alpha beta alpha))) (log (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 6 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (exp (+ (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (/ 1 (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (+ (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (/ 1 (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (136 enodes)
* * [misc]simplify:  iters left: 1 (172 enodes)
* [exit]simplify:  Simplified to (- (log (+ (+ beta 1.0) (fma alpha beta alpha))) (log (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (exp (- (log (+ (+ beta 1.0) (fma alpha beta alpha))) (log (+ (+ 2 beta) alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 7 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (exp (log (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 8 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (log (exp (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 9 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (cbrt (* (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (* (/ 1 (+ (+ alpha beta) (* 2 1))) (/ 1 (+ (+ alpha beta) (* 2 1)))) (/ 1 (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (* (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (* (/ 1 (+ (+ alpha beta) (* 2 1))) (/ 1 (+ (+ alpha beta) (* 2 1)))) (/ 1 (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (241 enodes)
* [exit]simplify:  Simplified to (* (/ (/ 1 (+ beta (+ alpha 2))) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) (pow (+ (fma beta alpha beta) (+ 1.0 alpha)) 3))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (cbrt (* (/ (/ 1 (+ beta (+ alpha 2))) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) (pow (+ (fma beta alpha beta) (+ 1.0 alpha)) 3))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 10 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (* (cbrt (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))) (cbrt (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))))) (cbrt (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 11 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (cbrt (* (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))) (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 12 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (sqrt (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))) (sqrt (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 13 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (+ (pow (+ (+ alpha beta) (* beta alpha)) 3) (pow 1.0 3)) 1) (* (+ (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* beta alpha)) 1.0))) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (* (+ (pow (+ (+ alpha beta) (* beta alpha)) 3) (pow 1.0 3)) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (426 enodes)
* [exit]simplify:  Simplified to (fma (* 1.0 1.0) 1.0 (pow (+ (fma beta alpha alpha) beta) 3))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (fma (* 1.0 1.0) 1.0 (pow (+ (fma beta alpha alpha) beta) 3)) (* (+ (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* beta alpha)) 1.0))) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (* (+ (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* beta alpha)) 1.0))) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (198 enodes)
* [exit]simplify:  Simplified to (* (+ (+ 2 beta) alpha) (- (fma (+ alpha (fma beta alpha beta)) (+ alpha (fma beta alpha beta)) (* 1.0 1.0)) (* 1.0 (+ alpha (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (/ (fma (* 1.0 1.0) 1.0 (pow (+ (fma beta alpha alpha) beta) 3)) (* (+ (+ 2 beta) alpha) (- (fma (+ alpha (fma beta alpha beta)) (+ alpha (fma beta alpha beta)) (* 1.0 1.0)) (* 1.0 (+ alpha (fma beta alpha beta)))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 14 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (- (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (* 1.0 1.0)) 1) (* (- (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (* (- (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (* 1.0 1.0)) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* [exit]simplify:  Simplified to (fma (+ (fma beta alpha beta) alpha) (+ (fma beta alpha beta) alpha) (* (- 1.0) 1.0))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (fma (+ (fma beta alpha beta) alpha) (+ (fma beta alpha beta) alpha) (* (- 1.0) 1.0)) (* (- (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (* (- (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* [exit]simplify:  Simplified to (* (+ (+ 2 beta) alpha) (+ (fma beta alpha alpha) (- beta 1.0)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (/ (fma (+ (fma beta alpha beta) alpha) (+ (fma beta alpha beta) alpha) (* (- 1.0) 1.0)) (* (+ (+ 2 beta) alpha) (+ (fma beta alpha alpha) (- beta 1.0)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 15 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* 1 (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 16 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ alpha beta) (* 2 1))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (+ (+ 2 alpha) beta)
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ 2 alpha) beta)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 17 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (/ 1 (+ (+ alpha beta) (* 2 1)))) (cbrt (/ 1 (+ (+ alpha beta) (* 2 1)))))) (cbrt (/ 1 (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (/ 1 (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 1 (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (/ 1 (+ (+ alpha beta) (* 2 1)))) (cbrt (/ 1 (+ (+ alpha beta) (* 2 1)))))) (cbrt (/ 1 (+ (+ alpha beta) 2)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 18 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (/ 1 (+ (+ alpha beta) (* 2 1))))) (sqrt (/ 1 (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (/ 1 (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (/ 1 (+ (+ alpha beta) (* 2 1))))) (sqrt (/ 1 (+ (+ alpha beta) 2)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 19 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ alpha beta) 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (/ 1 (+ (+ alpha beta) 2))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 20 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ alpha beta) 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (/ 1 (+ (+ alpha beta) 2))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 21 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 22 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (- (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (+ alpha beta) (* 2 1))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (27 enodes)
* [exit]simplify:  Simplified to (- beta (- 2 alpha))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (- beta (- 2 alpha))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 23 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (/ 1 (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (/ 1 (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 24 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (/ 1 (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (* (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (/ 1 (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 25 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* 1 (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 26 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ alpha beta) (* 2 1))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (+ (+ 2 alpha) beta)
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (+ (+ 2 alpha) beta)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 27 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (+ (pow (+ (+ alpha beta) (* beta alpha)) 3) (pow 1.0 3)) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* beta alpha)) 1.0)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (* (+ (pow (+ (+ alpha beta) (* beta alpha)) 3) (pow 1.0 3)) (/ 1 (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (465 enodes)
* [exit]simplify:  Simplified to (fma (pow (+ (fma beta alpha alpha) beta) 3) (/ 1 (+ alpha (+ 2 beta))) (/ (pow 1.0 3) (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (fma (pow (+ (fma beta alpha alpha) beta) 3) (/ 1 (+ alpha (+ 2 beta))) (/ (pow 1.0 3) (+ alpha (+ 2 beta)))) (+ (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* beta alpha)) 1.0)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 28 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (- (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (* 1.0 1.0)) (/ 1 (+ (+ alpha beta) (* 2 1)))) (- (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (* (- (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (* 1.0 1.0)) (/ 1 (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (139 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (fma beta alpha beta)) (+ alpha (fma beta alpha beta)) (- (* 1.0 1.0))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (/ (fma (+ alpha (fma beta alpha beta)) (+ alpha (fma beta alpha beta)) (- (* 1.0 1.0))) (+ (+ alpha 2) beta)) (- (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 29 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 30 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (log1p (expm1 (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 31 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (expm1 (log1p (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 32 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (pow (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) 1))>
* * * * [misc]progress:  [ 33 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (exp (- (- (+ (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (- (log (+ (+ alpha beta) (* 2 1))))) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (- (- (+ (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (- (log (+ (+ alpha beta) (* 2 1))))) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (225 enodes)
* * [misc]simplify:  iters left: 2 (447 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (fma beta alpha beta) (+ 1.0 alpha))) (log (+ beta (+ alpha 2)))) (+ (log (+ beta (+ alpha 2))) (log (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (exp (- (- (log (+ (fma beta alpha beta) (+ 1.0 alpha))) (log (+ beta (+ alpha 2)))) (+ (log (+ beta (+ alpha 2))) (log (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 34 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (exp (- (- (+ (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (/ 1 (+ (+ alpha beta) (* 2 1))))) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (- (- (+ (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (/ 1 (+ (+ alpha beta) (* 2 1))))) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (230 enodes)
* * [misc]simplify:  iters left: 2 (458 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (+ 1.0 alpha) (fma alpha beta beta))) (log (+ (+ alpha 2) (+ beta 1.0)))) (+ (log (+ (+ 2 beta) alpha)) (log (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (exp (- (- (log (+ (+ 1.0 alpha) (fma alpha beta beta))) (log (+ (+ alpha 2) (+ beta 1.0)))) (+ (log (+ (+ 2 beta) alpha)) (log (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 35 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (exp (- (- (log (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (- (- (log (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (124 enodes)
* * [misc]simplify:  iters left: 3 (346 enodes)
* [exit]simplify:  Simplified to (- (log (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ alpha (+ beta 2)))) (+ (log (+ alpha (+ beta 2))) (log (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (exp (- (log (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ alpha (+ beta 2)))) (+ (log (+ alpha (+ beta 2))) (log (+ (+ 1.0 2) (+ beta alpha)))))))
* * * * [misc]progress:  [ 36 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (exp (- (log (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (- (log (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* * [misc]simplify:  iters left: 3 (369 enodes)
* [exit]simplify:  Simplified to (- (log (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ (+ alpha 2) beta))) (+ (log (+ (+ alpha 2) beta)) (log (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (exp (- (log (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ (+ alpha 2) beta))) (+ (log (+ (+ alpha 2) beta)) (log (+ (+ beta 2) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 37 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (exp (log (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 38 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (log (exp (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 39 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (cbrt (/ (/ (* (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (* (/ 1 (+ (+ alpha beta) (* 2 1))) (/ 1 (+ (+ alpha beta) (* 2 1)))) (/ 1 (+ (+ alpha beta) (* 2 1))))) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (* (/ 1 (+ (+ alpha beta) (* 2 1))) (/ 1 (+ (+ alpha beta) (* 2 1)))) (/ 1 (+ (+ alpha beta) (* 2 1))))) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (102 enodes)
* [exit]simplify:  Simplified to (/ (* (* (pow (+ (fma alpha beta 1.0) (+ beta alpha)) 3) (/ 1 (+ (+ 2 alpha) beta))) (/ (/ 1 (+ (+ 2 alpha) beta)) (+ (+ 2 alpha) beta))) (* (pow (+ (+ 1.0 alpha) (+ beta 2)) 3) (pow (+ (+ 2 alpha) beta) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (cbrt (/ (* (* (pow (+ (fma alpha beta 1.0) (+ beta alpha)) 3) (/ 1 (+ (+ 2 alpha) beta))) (/ (/ 1 (+ (+ 2 alpha) beta)) (+ (+ 2 alpha) beta))) (* (pow (+ (+ 1.0 alpha) (+ beta 2)) 3) (pow (+ (+ 2 alpha) beta) 3)))))
* * * * [misc]progress:  [ 40 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (cbrt (/ (/ (* (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))) (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))) (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* [exit]simplify:  Simplified to (/ (pow (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ (+ beta 2) alpha)) 3) (* (pow (+ (+ beta 2) alpha) 3) (pow (+ (+ 1.0 2) (+ beta alpha)) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (cbrt (/ (pow (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ (+ beta 2) alpha)) 3) (* (pow (+ (+ beta 2) alpha) 3) (pow (+ (+ 1.0 2) (+ beta alpha)) 3)))))
* * * * [misc]progress:  [ 41 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (cbrt (/ (* (* (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (68 enodes)
* * [misc]simplify:  iters left: 4 (308 enodes)
* [exit]simplify:  Simplified to (pow (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ 2 (+ beta alpha))) (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha)))) 3)
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (cbrt (pow (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ 2 (+ beta alpha))) (* (+ (+ 1.0 2) (+ beta alpha)) (+ 2 (+ beta alpha)))) 3)))
* * * * [misc]progress:  [ 42 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (cbrt (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (cbrt (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (cbrt (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 43 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (cbrt (* (* (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 44 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (sqrt (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 45 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (- (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (- (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* * * * [misc]progress:  [ 46 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (* (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (116 enodes)
* * [misc]simplify:  iters left: 3 (344 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ alpha (+ beta 2))) (+ alpha (+ beta 2)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (cbrt (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ alpha (+ beta 2))) (+ alpha (+ beta 2)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ alpha (+ beta 2))) (+ alpha (+ beta 2)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (cbrt (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ alpha (+ beta 2))) (+ alpha (+ beta 2)))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (323 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ alpha (+ beta 2))) (+ alpha (+ beta 2)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (cbrt (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ alpha (+ beta 2))) (+ alpha (+ beta 2)))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (cbrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 47 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (* (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (328 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta)))) (/ (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (323 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta)))) (/ (cbrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 48 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (* (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))) 1) (/ (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (299 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (cbrt (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (cbrt (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))))) (/ (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (322 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (+ (+ beta alpha) (+ 1.0 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (cbrt (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))))) (/ (cbrt (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (+ (+ beta alpha) (+ 1.0 2)))))
* * * * [misc]progress:  [ 49 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (sqrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (sqrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (323 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (sqrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (323 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (sqrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 50 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (sqrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (sqrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (323 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (sqrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (323 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (sqrt (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 51 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (sqrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) 1) (/ (sqrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (290 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha))) (/ (sqrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (322 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (+ (+ beta alpha) (+ 1.0 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha))) (/ (sqrt (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (+ (+ beta alpha) (+ 1.0 2)))))
* * * * [misc]progress:  [ 52 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (208 enodes)
* * [misc]simplify:  iters left: 1 (236 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma alpha beta beta) (+ alpha 1.0)) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (fma alpha beta beta) (+ alpha 1.0)) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (250 enodes)
* * [misc]simplify:  iters left: 1 (391 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (cbrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (fma alpha beta beta) (+ alpha 1.0)) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (cbrt (+ (+ alpha beta) 2)))))
* * * * [misc]progress:  [ 53 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* * [misc]simplify:  iters left: 1 (208 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (250 enodes)
* * [misc]simplify:  iters left: 1 (391 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (cbrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (cbrt (+ (+ alpha beta) 2)))))
* * * * [misc]progress:  [ 54 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (136 enodes)
* * [misc]simplify:  iters left: 1 (159 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (cbrt (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (cbrt (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (400 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))) (+ (+ beta 2) (+ alpha 1.0)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (cbrt (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) (/ (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))) (+ (+ beta 2) (+ alpha 1.0)))))
* * * * [misc]progress:  [ 55 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (250 enodes)
* * [misc]simplify:  iters left: 1 (391 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (sqrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ (+ alpha beta) 2)))))
* * * * [misc]progress:  [ 56 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 1.0 2) (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (250 enodes)
* * [misc]simplify:  iters left: 1 (391 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ (+ alpha beta) 2)))))
* * * * [misc]progress:  [ 57 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta 1.0) (fma alpha beta alpha)) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ beta 1.0) (fma alpha beta alpha)) (sqrt (+ (+ alpha 2) beta))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (400 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))) (+ (+ beta 2) (+ alpha 1.0)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ beta 1.0) (fma alpha beta alpha)) (sqrt (+ (+ alpha 2) beta))) (/ (/ (/ 1 (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))) (+ (+ beta 2) (+ alpha 1.0)))))
* * * * [misc]progress:  [ 58 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (210 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta 2) alpha)) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (/ 1 (+ (+ beta 2) alpha)) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 59 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (239 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta 2) alpha)) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (fma alpha beta beta)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (/ 1 (+ (+ beta 2) alpha)) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 60 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) 1) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (+ (fma beta alpha beta) (+ 1.0 alpha))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (+ (fma beta alpha beta) (+ 1.0 alpha)) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (407 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha 2) beta)) (* (+ (+ beta 2) (+ 1.0 alpha)) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (+ (fma beta alpha beta) (+ 1.0 alpha)) (/ (/ 1 (+ (+ alpha 2) beta)) (* (+ (+ beta 2) (+ 1.0 alpha)) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 61 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ 1.0 beta) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ 1.0 beta) (+ alpha 2))))) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (129 enodes)
* * [misc]simplify:  iters left: 3 (454 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ 1.0 beta) (+ alpha 2))))) (/ (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 62 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ 1 (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ 1.0 beta) (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ 1.0 beta) (+ alpha 2)))) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (129 enodes)
* * [misc]simplify:  iters left: 3 (454 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ 1.0 beta) (+ alpha 2)))) (/ (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 63 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ 1 1) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* 1 (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ beta 2) alpha)) (* (+ (+ 1.0 2) (+ beta alpha)) (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* 1 (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ beta 2) alpha)) (* (+ (+ 1.0 2) (+ beta alpha)) (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 64 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* * [misc]simplify:  iters left: 3 (393 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ 1.0 beta) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ 1.0 beta) (+ alpha 2))))))
* * * * [misc]progress:  [ 65 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (323 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ beta 2) alpha)) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ beta 2) alpha)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 beta) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ beta 2) alpha)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 beta) (+ alpha 2))))))
* * * * [misc]progress:  [ 66 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) 1) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (263 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ beta (+ alpha 2))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (310 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta 2) (+ alpha 1.0))) (+ (+ alpha beta) 2))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ beta (+ alpha 2))) (/ (/ 1 (+ (+ beta 2) (+ alpha 1.0))) (+ (+ alpha beta) 2))))
* * * * [misc]progress:  [ 67 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (166 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ (+ beta 2) alpha)) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ (+ beta 2) alpha)) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* * [misc]simplify:  iters left: 3 (352 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ beta alpha) (+ beta alpha) (fma -2 (+ beta alpha) 4)) (cbrt (+ (+ 1.0 2) (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ (+ beta 2) alpha)) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (fma (+ beta alpha) (+ beta alpha) (fma -2 (+ beta alpha) 4)) (cbrt (+ (+ 1.0 2) (+ beta alpha))))))
* * * * [misc]progress:  [ 68 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (158 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha))) (* (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha))) (* (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* * [misc]simplify:  iters left: 3 (352 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ beta alpha) (+ beta alpha) (fma -2 (+ beta alpha) 4)) (sqrt (+ (+ 1.0 2) (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha))) (* (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (fma (+ beta alpha) (+ beta alpha) (fma -2 (+ beta alpha) 4)) (sqrt (+ (+ 1.0 2) (+ beta alpha))))))
* * * * [misc]progress:  [ 69 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1)
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (141 enodes)
* * [misc]simplify:  iters left: 3 (479 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ beta (+ alpha 2))) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ beta (+ alpha 2))) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (129 enodes)
* * [misc]simplify:  iters left: 3 (359 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ beta alpha) (+ beta alpha) (fma -2 (+ beta alpha) 4)) (+ (+ 1.0 2) (+ beta alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ beta (+ alpha 2))) (fma (* (+ beta alpha) (+ beta alpha)) (+ beta alpha) 8)) (/ (fma (+ beta alpha) (+ beta alpha) (fma -2 (+ beta alpha) 4)) (+ (+ 1.0 2) (+ beta alpha)))))
* * * * [misc]progress:  [ 70 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (186 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (fma (+ beta alpha) (+ beta alpha) -4)) (+ (+ alpha 2) beta)) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (fma (+ beta alpha) (+ beta alpha) -4)) (+ (+ alpha 2) beta)) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta alpha) -2) (cbrt (+ (+ 2 alpha) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (fma (+ beta alpha) (+ beta alpha) -4)) (+ (+ alpha 2) beta)) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (+ (+ beta alpha) -2) (cbrt (+ (+ 2 alpha) (+ beta 1.0))))))
* * * * [misc]progress:  [ 71 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (178 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (* (fma (+ beta alpha) (+ beta alpha) -4) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (* (fma (+ beta alpha) (+ beta alpha) -4) (+ 2 (+ beta alpha))))) (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))
* [enter]simplify:  Simplifying (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta alpha) -2) (sqrt (+ (+ 2 alpha) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (* (fma (+ beta alpha) (+ beta alpha) -4) (+ 2 (+ beta alpha))))) (/ (+ (+ beta alpha) -2) (sqrt (+ (+ 2 alpha) (+ beta 1.0))))))
* * * * [misc]progress:  [ 72 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) (/ (- (+ alpha beta) (* 2 1)) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (159 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ alpha (+ beta 2))) (fma (+ beta alpha) (+ beta alpha) -4))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ alpha (+ beta 2))) (fma (+ beta alpha) (+ beta alpha) -4)) (/ (- (+ alpha beta) (* 2 1)) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))
* [enter]simplify:  Simplifying (/ (- (+ alpha beta) (* 2 1)) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ -2 alpha) beta) (+ (+ alpha 1.0) (+ beta 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ alpha (+ beta 2))) (fma (+ beta alpha) (+ beta alpha) -4)) (/ (+ (+ -2 alpha) beta) (+ (+ alpha 1.0) (+ beta 2)))))
* * * * [misc]progress:  [ 73 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* 1 (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* * * * [misc]progress:  [ 74 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (/ 1 (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* * * * [misc]progress:  [ 75 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ 1 (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))>
* * * * [misc]progress:  [ 76 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (+ 2 alpha) (+ 1.0 beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (/ (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (cbrt (+ (+ 2 alpha) (+ 1.0 beta)))))
* * * * [misc]progress:  [ 77 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (/ (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))
* * * * [misc]progress:  [ 78 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) 1) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ (+ alpha beta) (* 2 1)) 1.0)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* [exit]simplify:  Simplified to (+ (+ 2 alpha) (+ 1.0 beta))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (/ (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) 1) (+ (+ 2 alpha) (+ 1.0 beta))))
* * * * [misc]progress:  [ 79 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (291 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha))) (cbrt (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (cbrt (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha))) (cbrt (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 80 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (sqrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (sqrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (sqrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (289 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (sqrt (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (sqrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 81 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (145 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 82 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 83 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))>
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (+ (+ beta 1.0) (fma alpha beta alpha))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (+ (+ beta 1.0) (fma alpha beta alpha)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 84 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ 1 (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))>
* * * * [misc]progress:  [ 85 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))))>
* [enter]simplify:  Simplifying (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (241 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 86 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* * [misc]simplify:  iters left: 3 (383 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ 2 (+ beta alpha))) (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (fma alpha beta 1.0) (+ beta alpha)) (+ 2 (+ beta alpha))) (fma (+ beta alpha) (* (+ beta alpha) (+ beta alpha)) 8)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 87 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (- (+ alpha beta) (* 2 1)))))>
* [enter]simplify:  Simplifying (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ alpha (+ beta 2))) (fma (+ beta alpha) (+ beta alpha) -4))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (+ beta alpha) (fma alpha beta 1.0)) (+ alpha (+ beta 2))) (fma (+ beta alpha) (+ beta alpha) -4)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (- (+ alpha beta) (* 2 1)))))
* * * * [misc]progress:  [ 88 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ (+ alpha beta) (* 2 1)) 3) (pow 1.0 3))) (+ (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* [enter]simplify:  Simplifying (+ (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* 2 1)) 1.0)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* [exit]simplify:  Simplified to (fma (- (- 1.0 2) (+ beta alpha)) 1.0 (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ (+ alpha beta) (* 2 1)) 3) (pow 1.0 3))) (fma (- (- 1.0 2) (+ beta alpha)) 1.0 (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 89 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (- (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (* 1.0 1.0))) (- (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (+ (+ alpha beta) (* 2 1)) 1.0)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (+ (- beta 1.0) (+ 2 alpha))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (- (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (* 1.0 1.0))) (+ (- beta 1.0) (+ 2 alpha))))
* * * * [misc]progress:  [ 90 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ alpha beta) (* 2 1)))))>
* [enter]simplify:  Simplifying (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (241 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ 1.0 alpha) (fma beta alpha beta)) (+ 2 (+ beta alpha))) (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ alpha beta) (* 2 1)))))
* * * * [misc]progress:  [ 91 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (log1p (expm1 (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 92 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (expm1 (log1p (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 93 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (pow (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) 1) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 94 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (exp (- (+ (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (- (log (+ (+ alpha beta) (* 2 1))))) (log (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (+ (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (- (log (+ (+ alpha beta) (* 2 1))))) (log (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (119 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (237 enodes)
* [exit]simplify:  Simplified to (- (log (+ (fma alpha beta beta) (+ 1.0 alpha))) (+ (log (+ (+ beta 2) alpha)) (log (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (exp (- (log (+ (fma alpha beta beta) (+ 1.0 alpha))) (+ (log (+ (+ beta 2) alpha)) (log (+ (+ beta 2) alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 95 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (exp (- (+ (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (/ 1 (+ (+ alpha beta) (* 2 1))))) (log (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (+ (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (/ 1 (+ (+ alpha beta) (* 2 1))))) (log (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (296 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (fma alpha beta alpha) (+ beta 1.0))) (log (+ beta (+ alpha 2)))) (log (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (exp (- (- (log (+ (fma alpha beta alpha) (+ beta 1.0))) (log (+ beta (+ alpha 2)))) (log (+ beta (+ alpha 2))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 96 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (exp (- (log (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))) (log (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (log (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))) (log (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (264 enodes)
* [exit]simplify:  Simplified to (- (log (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha)))) (log (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (exp (- (log (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ 2 (+ beta alpha)))) (log (+ 2 (+ beta alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 97 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (exp (log (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 98 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (log (exp (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 99 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (cbrt (/ (* (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (* (/ 1 (+ (+ alpha beta) (* 2 1))) (/ 1 (+ (+ alpha beta) (* 2 1)))) (/ 1 (+ (+ alpha beta) (* 2 1))))) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (* (/ 1 (+ (+ alpha beta) (* 2 1))) (/ 1 (+ (+ alpha beta) (* 2 1)))) (/ 1 (+ (+ alpha beta) (* 2 1))))) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (430 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (+ (fma alpha beta 1.0) (+ beta alpha)) 3) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha))) (* (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (cbrt (/ (/ (pow (+ (fma alpha beta 1.0) (+ beta alpha)) 3) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha))) (* (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 100 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (cbrt (/ (* (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))) (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))) (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (316 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) 3)
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (cbrt (pow (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) 3)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 101 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 102 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (cbrt (* (* (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 103 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (sqrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (sqrt (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 104 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (- (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))) (- (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 105 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (145 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 106 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (sqrt (+ (+ alpha 2) beta))) (/ (/ 1 (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 107 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (+ (+ beta 1.0) (fma alpha beta alpha))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (+ (+ beta 1.0) (fma alpha beta alpha)) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* [enter]simplify:  Simplifying (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (+ (+ beta 1.0) (fma alpha beta alpha)) (/ 1 (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 108 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* 1 (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 109 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 110 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ 1 (/ (+ (+ alpha beta) (* 2 1)) (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 111 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (cbrt (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (+ 2 (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 112 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ 2 (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 113 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ alpha beta) (* 2 1))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (13 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (20 enodes)
* [exit]simplify:  Simplified to (+ (+ 2 alpha) beta)
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) 1) (+ (+ 2 alpha) beta)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 114 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ (+ (+ alpha beta) (* 2 1)) (/ 1 (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ (+ alpha beta) (* beta alpha)) 1.0)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (+ (fma alpha beta alpha) (+ beta 1.0))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (/ (+ (+ alpha beta) (* 2 1)) (/ 1 (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 115 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (fma (+ beta alpha) -2 (fma (+ beta alpha) (+ beta alpha) 4))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 116 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (- (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (+ alpha beta) (* 2 1))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (15 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (27 enodes)
* [exit]simplify:  Simplified to (- beta (- 2 alpha))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (- beta (- 2 alpha))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 117 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (pow (+ (+ alpha beta) (* beta alpha)) 3) (pow 1.0 3)) 1) (* (+ (+ alpha beta) (* 2 1)) (* (+ (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* beta alpha)) 1.0))) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (* (+ (pow (+ (+ alpha beta) (* beta alpha)) 3) (pow 1.0 3)) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (426 enodes)
* [exit]simplify:  Simplified to (fma (* 1.0 1.0) 1.0 (pow (+ (fma beta alpha alpha) beta) 3))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (fma (* 1.0 1.0) 1.0 (pow (+ (fma beta alpha alpha) beta) 3)) (* (+ (+ alpha beta) (* 2 1)) (* (+ (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* beta alpha)) 1.0))) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 118 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (- (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (* 1.0 1.0)) 1) (* (+ (+ alpha beta) (* 2 1)) (* (- (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (* (- (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (* 1.0 1.0)) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* [exit]simplify:  Simplified to (fma (+ (fma beta alpha beta) alpha) (+ (fma beta alpha beta) alpha) (* (- 1.0) 1.0))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (fma (+ (fma beta alpha beta) alpha) (+ (fma beta alpha beta) alpha) (* (- 1.0) 1.0)) (* (+ (+ alpha beta) (* 2 1)) (* (- (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 119 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ (+ alpha beta) (* beta alpha)) 1.0)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (+ (fma alpha beta alpha) (+ beta 1.0))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (+ (fma alpha beta alpha) (+ beta 1.0)) (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 120 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (243 enodes)
* * [misc]simplify:  iters left: 1 (296 enodes)
* [exit]simplify:  Simplified to (+ (fma beta alpha alpha) (+ beta 1.0))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (+ (fma beta alpha alpha) (+ beta 1.0)) (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 121 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (pow (+ (+ alpha beta) (* beta alpha)) 3) (pow 1.0 3)) (/ 1 (+ (+ alpha beta) (* 2 1)))) (* (+ (+ alpha beta) (* 2 1)) (+ (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* beta alpha)) 1.0))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (* (+ (pow (+ (+ alpha beta) (* beta alpha)) 3) (pow 1.0 3)) (/ 1 (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (465 enodes)
* [exit]simplify:  Simplified to (fma (pow (+ (fma beta alpha alpha) beta) 3) (/ 1 (+ alpha (+ 2 beta))) (/ (pow 1.0 3) (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (fma (pow (+ (fma beta alpha alpha) beta) 3) (/ 1 (+ alpha (+ 2 beta))) (/ (pow 1.0 3) (+ alpha (+ 2 beta)))) (* (+ (+ alpha beta) (* 2 1)) (+ (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* beta alpha)) 1.0))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 122 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (- (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (* 1.0 1.0)) (/ 1 (+ (+ alpha beta) (* 2 1)))) (* (+ (+ alpha beta) (* 2 1)) (- (+ (+ alpha beta) (* beta alpha)) 1.0))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (* (- (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (* 1.0 1.0)) (/ 1 (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (139 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (fma beta alpha beta)) (+ alpha (fma beta alpha beta)) (- (* 1.0 1.0))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (fma (+ alpha (fma beta alpha beta)) (+ alpha (fma beta alpha beta)) (- (* 1.0 1.0))) (+ (+ alpha 2) beta)) (* (+ (+ alpha beta) (* 2 1)) (- (+ (+ alpha beta) (* beta alpha)) 1.0))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 123 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (log1p (expm1 (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 124 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (expm1 (log1p (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 125 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (fma (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))) 1.0)))>
* [enter]simplify:  Simplifying (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (fma (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2)))) (cbrt (+ (+ alpha beta) (* 2 1))) 1.0)))
* * * * [misc]progress:  [ 126 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (fma (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (fma (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ alpha beta) (* 2 1))) 1.0)))
* * * * [misc]progress:  [ 127 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (fma 1 (+ (+ alpha beta) (* 2 1)) 1.0)))>
* * * * [misc]progress:  [ 128 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (pow (+ (+ (+ alpha beta) (* 2 1)) 1.0) 1)))>
* * * * [misc]progress:  [ 129 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (exp (log (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 130 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (log (exp (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 131 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (* (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 132 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (* (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 133 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (* (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))))>
* * * * [misc]progress:  [ 134 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (/ (+ (pow (+ (+ alpha beta) (* 2 1)) 3) (pow 1.0 3)) (+ (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* 2 1)) 1.0))))))>
* * * * [misc]progress:  [ 135 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (* 1 (+ (+ (+ alpha beta) (* 2 1)) 1.0))))>
* * * * [misc]progress:  [ 136 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (/ (- (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (* 1.0 1.0)) (- (+ (+ alpha beta) (* 2 1)) 1.0))))>
* * * * [misc]progress:  [ 137 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (+ alpha beta)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ beta alpha)
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ beta alpha) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 138 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ 1.0 (+ (+ alpha beta) (* 2 1)))))>
* * * * [misc]progress:  [ 139 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (+ (* 0.25 alpha) (+ (* 0.25 beta) 0.5)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (+ (* 0.25 alpha) (+ (* 0.25 beta) 0.5))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (fma (+ alpha beta) 0.25 0.5)
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (fma (+ alpha beta) 0.25 0.5) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 140 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (- (+ (* 2.0 (/ 1 (pow alpha 2))) 1) (* 1.0 (/ 1 alpha))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (+ (* 2.0 (/ 1 (pow alpha 2))) 1) (* 1.0 (/ 1 alpha)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (227 enodes)
* [exit]simplify:  Simplified to (fma (/ 1 alpha) (- (/ 2.0 alpha) 1.0) 1)
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (fma (/ 1 alpha) (- (/ 2.0 alpha) 1.0) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 141 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (- (+ (* 2.0 (/ 1 (pow alpha 2))) 1) (* 1.0 (/ 1 alpha))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (+ (* 2.0 (/ 1 (pow alpha 2))) 1) (* 1.0 (/ 1 alpha)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (227 enodes)
* [exit]simplify:  Simplified to (fma (/ 1 alpha) (- (/ 2.0 alpha) 1.0) 1)
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (fma (/ 1 alpha) (- (/ 2.0 alpha) 1.0) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 142 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (- 0.08333333333333333 (+ (* 0.027777777777777776 alpha) (* 0.027777777777777776 beta))))>
* [enter]simplify:  Simplifying (- 0.08333333333333333 (+ (* 0.027777777777777776 alpha) (* 0.027777777777777776 beta)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (fma (+ alpha beta) (- 0.027777777777777776) 0.08333333333333333)
* [misc]simplify:  Simplified (2) to (λ (alpha beta) (fma (+ alpha beta) (- 0.027777777777777776) 0.08333333333333333))
* * * * [misc]progress:  [ 143 / 150 ] simplifiying candidate #<alt (λ (alpha beta) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (alpha beta) 0)
* * * * [misc]progress:  [ 144 / 150 ] simplifiying candidate #<alt (λ (alpha beta) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2) to (λ (alpha beta) 0)
* * * * [misc]progress:  [ 145 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (- (+ 0.25 (* 0.125 (* beta alpha))) (* 0.0625 (pow alpha 2))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying (- (+ 0.25 (* 0.125 (* beta alpha))) (* 0.0625 (pow alpha 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (148 enodes)
* * [misc]simplify:  iters left: 1 (171 enodes)
* [exit]simplify:  Simplified to (fma (- (* beta 0.125) (* alpha 0.0625)) alpha 0.25)
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (fma (- (* beta 0.125) (* alpha 0.0625)) alpha 0.25) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 146 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ 0 (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ 0 (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 147 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ 0 (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ 0 (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 148 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ alpha (+ beta 3.0))))>
* [enter]simplify:  Simplifying (+ alpha (+ beta 3.0))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (+ (+ beta alpha) 3.0)
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ beta alpha) 3.0)))
* * * * [misc]progress:  [ 149 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ beta (+ 3.0 alpha))))>
* [enter]simplify:  Simplifying (+ beta (+ 3.0 alpha))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (+ (+ 3.0 beta) alpha)
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ 3.0 beta) alpha)))
* * * * [misc]progress:  [ 150 / 150 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ beta (+ 3.0 alpha))))>
* [enter]simplify:  Simplifying (+ beta (+ 3.0 alpha))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (+ (+ 3.0 beta) alpha)
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ 3.0 beta) alpha)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (fma beta alpha alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma beta alpha alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) alpha)
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ beta 1.0) 0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 1.0)) into (sqrt (+ beta 1.0))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ beta 1) into (+ beta 1)
* [misc]backup-simplify:  Simplify (+ 0 (+ beta 1)) into (+ beta 1)
* [misc]backup-simplify:  Simplify (/ (+ beta 1) (* 2 (sqrt (+ beta 1.0)))) into (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (fma beta alpha alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma beta alpha alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) alpha)
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ 1.0 alpha) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 1.0 alpha)) into (sqrt (+ 1.0 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ 1 alpha) into (+ 1 alpha)
* [misc]backup-simplify:  Simplify (/ (+ 1 alpha) (* 2 (sqrt (+ 1.0 alpha)))) into (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (fma beta alpha alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma beta alpha alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) alpha)
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ 1.0 alpha) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 1.0 alpha)) into (sqrt (+ 1.0 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ 1 alpha) into (+ 1 alpha)
* [misc]backup-simplify:  Simplify (/ (+ 1 alpha) (* 2 (sqrt (+ 1.0 alpha)))) into (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (sqrt 1.0) into (sqrt 1.0)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (sqrt 1.0) into (sqrt 1.0)
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ 1.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (/ 1 1.0) into 1.0
* [misc]backup-simplify:  Simplify (sqrt 1.0) into (sqrt 1.0)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ 1 1.0)))) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ (- 1.0) (* 2 (sqrt 1.0))) into (/ -0.5 (sqrt 1.0))
* [misc]taylor:  Taking taylor expansion of (+ 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 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 (* (sqrt 1.0) 1) into (sqrt 1.0)
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 1.0)) into (* 1/2 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 1.0)) into (* 1/2 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (sqrt 1.0)) (* alpha 1)) (+ (* (* 1/2 (sqrt 1.0)) (* 1 beta)) (sqrt 1.0))) into (+ (sqrt 1.0) (+ (* 1/2 (* (sqrt 1.0) beta)) (* 1/2 (/ alpha (sqrt 1.0)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1.0) 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 1) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 beta) 1)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 alpha)) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 alpha)) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (/ 1 alpha) 1)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1.0 (/ 1 alpha)) into (+ (/ 1 alpha) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 alpha) 1.0) (pow (* +nan.0 (+ (/ 1 alpha) 1)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (- +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (* 0 (- +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* +nan.0 1) (* 0 1)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 alpha)) (/ 1 beta))) (* +nan.0 (* (/ 1 (/ 1 alpha)) 1)))) into (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 1.0) 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) 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 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) -1) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 beta) 1)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [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 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 alpha)) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [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 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 alpha)) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (/ 1 alpha) 1)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.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 (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ -1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (/ 1 alpha))) into (- 1.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (- 1.0 (/ 1 alpha)) (pow (* +nan.0 (- (/ 1 alpha) 1)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (- +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (* 0 (- +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* +nan.0 -1) (* 0 1)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 (- alpha))) (/ 1 (- beta)))) (* +nan.0 (* (/ 1 (/ 1 (- alpha))) 1)))) into (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 alpha) (fma beta alpha beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma beta alpha beta) in beta
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) beta)
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1.0 alpha) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 1.0 alpha) 0) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 1.0 alpha)) into (sqrt (+ 1.0 alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 1) into (+ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (+ 1 alpha)) into (+ 1 alpha)
* [misc]backup-simplify:  Simplify (/ (+ 1 alpha) (* 2 (sqrt (+ 1.0 alpha)))) into (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 alpha) (fma beta alpha beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma beta alpha beta) in alpha
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) 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]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ 1.0 beta) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 1.0)) into (sqrt (+ beta 1.0))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ 1 beta) into (+ beta 1)
* [misc]backup-simplify:  Simplify (/ (+ beta 1) (* 2 (sqrt (+ beta 1.0)))) into (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 alpha) (fma beta alpha beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma beta alpha beta) in alpha
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) 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]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ 1.0 beta) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 1.0)) into (sqrt (+ beta 1.0))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ 1 beta) into (+ beta 1)
* [misc]backup-simplify:  Simplify (/ (+ beta 1) (* 2 (sqrt (+ beta 1.0)))) into (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (sqrt 1.0) into (sqrt 1.0)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (sqrt 1.0) into (sqrt 1.0)
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of 1/2 in beta
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ beta 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ beta 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (/ 1 1.0) into 1.0
* [misc]backup-simplify:  Simplify (sqrt 1.0) into (sqrt 1.0)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ 1 1.0)))) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ (- 1.0) (* 2 (sqrt 1.0))) into (/ -0.5 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0)
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 1.0)) into (* 1/2 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 1.0)) into (* 1/2 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (sqrt 1.0)) (* beta 1)) (+ (* (* 1/2 (sqrt 1.0)) (* 1 alpha)) (sqrt 1.0))) into (+ (sqrt 1.0) (+ (* 1/2 (/ beta (sqrt 1.0))) (* 1/2 (* (sqrt 1.0) alpha))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 beta) (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 1) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 alpha) 1)) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 beta) (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) 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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 beta) (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) 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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (/ 1 beta) 1)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1) 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 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1.0 (/ 1 beta)) into (+ (/ 1 beta) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) 1.0) (pow (* +nan.0 (+ (/ 1 beta) 1)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 beta)) (- +nan.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (* 0 (- +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* +nan.0 1) (* 0 1)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 beta)) (/ 1 alpha))) (* +nan.0 (* (/ 1 (/ 1 beta)) 1)))) into (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (/ beta alpha)) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) 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 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- beta)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) -1) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 alpha) 1)) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- beta)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) 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]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- beta)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) 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]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (/ 1 beta) 1)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) 1) 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 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.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 (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (/ 1 beta))) into (- 1.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (- (- 1.0 (/ 1 beta)) (pow (* +nan.0 (- (/ 1 beta) 1)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 beta)) (- +nan.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (* 0 (- +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* +nan.0 -1) (* 0 1)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 (- beta))) (/ 1 (- alpha)))) (* +nan.0 (* (/ 1 (/ 1 (- beta))) 1)))) into (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (/ beta alpha)) (- +nan.0)))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 alpha) (fma beta alpha beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma beta alpha beta) in beta
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) beta)
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1.0 alpha) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 1.0 alpha) 0) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 1.0 alpha)) into (sqrt (+ 1.0 alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 1) into (+ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (+ 1 alpha)) into (+ 1 alpha)
* [misc]backup-simplify:  Simplify (/ (+ 1 alpha) (* 2 (sqrt (+ 1.0 alpha)))) into (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 2) (+ 1.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) (+ 1.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 1.0 alpha) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (+ 2 (+ 1.0 alpha)) into (+ 3.0 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 3.0 alpha)) into (sqrt (+ 3.0 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ 3.0 alpha)))) into (* 1/2 (sqrt (/ 1 (+ 3.0 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ 1.0 alpha)) (sqrt (+ 3.0 alpha))) into (sqrt (/ (+ 1.0 alpha) (+ 3.0 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 2) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 alpha) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 2 alpha)) into (sqrt (+ 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ 2 alpha)))) into (* 1/2 (sqrt (/ 1 (+ 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 alpha) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (* (+ 2 alpha) (sqrt (+ 2 alpha))) into (sqrt (pow (+ 2 alpha) 3))
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (+ 1.0 alpha) (+ 3.0 alpha))) (sqrt (pow (+ 2 alpha) 3))) into (sqrt (/ (+ 1.0 alpha) (* (pow (+ 2 alpha) 3) (+ 3.0 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 alpha) (fma beta alpha beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma beta alpha beta) in alpha
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) 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]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ 1.0 beta) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 1.0)) into (sqrt (+ beta 1.0))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ 1 beta) into (+ beta 1)
* [misc]backup-simplify:  Simplify (/ (+ beta 1) (* 2 (sqrt (+ beta 1.0)))) into (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 2) (+ 1.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) (+ 1.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ (+ beta 2) 1.0) into (+ beta 3.0)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 3.0)) into (sqrt (+ beta 3.0))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta 3.0)))) into (* 1/2 (sqrt (/ 1 (+ beta 3.0))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta 1.0)) (sqrt (+ beta 3.0))) into (sqrt (/ (+ beta 1.0) (+ beta 3.0)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 2) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking 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 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (+ (+ beta 2) 0) into (+ beta 2)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 2)) into (sqrt (+ beta 2))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta 2)))) into (* 1/2 (sqrt (/ 1 (+ beta 2))))
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (+ (+ beta 2) 0) into (+ beta 2)
* [misc]backup-simplify:  Simplify (* (+ beta 2) (sqrt (+ beta 2))) into (sqrt (pow (+ beta 2) 3))
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (+ beta 1.0) (+ beta 3.0))) (sqrt (pow (+ beta 2) 3))) into (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (+ beta 3.0))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 alpha) (fma beta alpha beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma beta alpha beta) in alpha
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) 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]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ 1.0 beta) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 1.0)) into (sqrt (+ beta 1.0))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ 1 beta) into (+ beta 1)
* [misc]backup-simplify:  Simplify (/ (+ beta 1) (* 2 (sqrt (+ beta 1.0)))) into (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 2) (+ 1.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) (+ 1.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ (+ beta 2) 1.0) into (+ beta 3.0)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 3.0)) into (sqrt (+ beta 3.0))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta 3.0)))) into (* 1/2 (sqrt (/ 1 (+ beta 3.0))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta 1.0)) (sqrt (+ beta 3.0))) into (sqrt (/ (+ beta 1.0) (+ beta 3.0)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 2) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking 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 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (+ (+ beta 2) 0) into (+ beta 2)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 2)) into (sqrt (+ beta 2))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta 2)))) into (* 1/2 (sqrt (/ 1 (+ beta 2))))
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (+ (+ beta 2) 0) into (+ beta 2)
* [misc]backup-simplify:  Simplify (* (+ beta 2) (sqrt (+ beta 2))) into (sqrt (pow (+ beta 2) 3))
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (+ beta 1.0) (+ beta 3.0))) (sqrt (pow (+ beta 2) 3))) into (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (+ beta 3.0))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (+ beta 3.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (+ beta 3.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 3) (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 2 4) into 8
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* 8 3.0) into 24.0
* [misc]backup-simplify:  Simplify (/ 1.0 24.0) into 0.041666666666666664
* [misc]backup-simplify:  Simplify (sqrt 0.041666666666666664) into (sqrt 0.041666666666666664)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 1 2)) into 4
* [misc]backup-simplify:  Simplify (+ (* 2 4) (* 1 4)) into 12
* [misc]backup-simplify:  Simplify (+ (* 8 1) (* 12 3.0)) into 44.0
* [misc]backup-simplify:  Simplify (- (/ 1 24.0) (+ (* 0.041666666666666664 (/ 44.0 24.0)))) into (- 0.03472222222222222)
* [misc]backup-simplify:  Simplify (/ (- 0.03472222222222222) (* 2 (sqrt 0.041666666666666664))) into (/ -0.01736111111111111 (sqrt 0.041666666666666664))
* [misc]backup-simplify:  Simplify (sqrt 0.041666666666666664) into (sqrt 0.041666666666666664)
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0))))) (sqrt (+ beta 3.0))) (+ (* (sqrt (/ (+ beta 1.0) (+ beta 3.0))) (/ (* 1/2 (sqrt (/ 1 (+ beta 3.0)))) (sqrt (+ beta 3.0)))))) into (- (+ (* 1/2 (sqrt (/ 1 (* (+ beta 3.0) (+ beta 1.0))))) (* 1/2 (* (sqrt (/ 1 (* (+ beta 3.0) (+ beta 1.0)))) beta))) (* 1/2 (sqrt (/ (+ beta 1.0) (pow (+ beta 3.0) 3)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta 2) (* 1/2 (sqrt (/ 1 (+ beta 2))))) (* 1 (sqrt (+ beta 2)))) into (* 3/2 (sqrt (+ beta 2)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 1/2 (sqrt (/ 1 (* (+ beta 3.0) (+ beta 1.0))))) (* 1/2 (* (sqrt (/ 1 (* (+ beta 3.0) (+ beta 1.0)))) beta))) (* 1/2 (sqrt (/ (+ beta 1.0) (pow (+ beta 3.0) 3))))) (sqrt (pow (+ beta 2) 3))) (+ (* (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (+ beta 3.0)))) (/ (* 3/2 (sqrt (+ beta 2))) (sqrt (pow (+ beta 2) 3)))))) into (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))))) beta)) (* 1/2 (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))))))) (+ (* 1/2 (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (pow (+ beta 3.0) 3))))) (* 3/2 (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 5) (+ beta 3.0)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))))) beta)) (* 1/2 (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))))))) (+ (* 1/2 (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (pow (+ beta 3.0) 3))))) (* 3/2 (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 5) (+ beta 3.0))))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))))) beta)) (* 1/2 (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))))) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 1/2 in beta
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (* (+ beta 3.0) (+ beta 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 2 4) into 8
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 3.0 1.0) into 3.0
* [misc]backup-simplify:  Simplify (* 8 3.0) into 24.0
* [misc]backup-simplify:  Simplify (/ 1 24.0) into 0.041666666666666664
* [misc]backup-simplify:  Simplify (sqrt 0.041666666666666664) into (sqrt 0.041666666666666664)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 3.0 1) (* 1 1.0)) into 4.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 1 2)) into 4
* [misc]backup-simplify:  Simplify (+ (* 2 4) (* 1 4)) into 12
* [misc]backup-simplify:  Simplify (+ (* 8 4.0) (* 12 3.0)) into 68.0
* [misc]backup-simplify:  Simplify (- (+ (* 0.041666666666666664 (/ 68.0 24.0)))) into (- 0.11805555555555555)
* [misc]backup-simplify:  Simplify (/ (- 0.11805555555555555) (* 2 (sqrt 0.041666666666666664))) into (/ -0.059027777777777776 (sqrt 0.041666666666666664))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of 1/2 in beta
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (* (+ beta 3.0) (+ beta 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 2 4) into 8
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 3.0 1.0) into 3.0
* [misc]backup-simplify:  Simplify (* 8 3.0) into 24.0
* [misc]backup-simplify:  Simplify (/ 1 24.0) into 0.041666666666666664
* [misc]backup-simplify:  Simplify (sqrt 0.041666666666666664) into (sqrt 0.041666666666666664)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 3.0 1) (* 1 1.0)) into 4.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 1 2)) into 4
* [misc]backup-simplify:  Simplify (+ (* 2 4) (* 1 4)) into 12
* [misc]backup-simplify:  Simplify (+ (* 8 4.0) (* 12 3.0)) into 68.0
* [misc]backup-simplify:  Simplify (- (+ (* 0.041666666666666664 (/ 68.0 24.0)))) into (- 0.11805555555555555)
* [misc]backup-simplify:  Simplify (/ (- 0.11805555555555555) (* 2 (sqrt 0.041666666666666664))) into (/ -0.059027777777777776 (sqrt 0.041666666666666664))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (pow (+ beta 3.0) 3))))) (* 3/2 (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 5) (+ beta 3.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (pow (+ beta 3.0) 3))))) in beta
* [misc]taylor:  Taking taylor expansion of 1/2 in beta
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (pow (+ beta 3.0) 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (pow (+ beta 3.0) 3))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 3) (pow (+ beta 3.0) 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 3.0) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 2 4) into 8
* [misc]backup-simplify:  Simplify (* 3.0 3.0) into 9.0
* [misc]backup-simplify:  Simplify (* 3.0 9.0) into 27.0
* [misc]backup-simplify:  Simplify (* 8 27.0) into 216.0
* [misc]backup-simplify:  Simplify (/ 1.0 216.0) into 0.004629629629629629
* [misc]backup-simplify:  Simplify (sqrt 0.004629629629629629) into (sqrt 0.004629629629629629)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 3.0 1) (* 1 3.0)) into 6.0
* [misc]backup-simplify:  Simplify (+ (* 3.0 6.0) (* 1 9.0)) into 27.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 1 2)) into 4
* [misc]backup-simplify:  Simplify (+ (* 2 4) (* 1 4)) into 12
* [misc]backup-simplify:  Simplify (+ (* 8 27.0) (* 12 27.0)) into 540.0
* [misc]backup-simplify:  Simplify (- (/ 1 216.0) (+ (* 0.004629629629629629 (/ 540.0 216.0)))) into (- 0.006944444444444444)
* [misc]backup-simplify:  Simplify (/ (- 0.006944444444444444) (* 2 (sqrt 0.004629629629629629))) into (/ -0.003472222222222222 (sqrt 0.004629629629629629))
* [misc]taylor:  Taking taylor expansion of (* 3/2 (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 5) (+ beta 3.0))))) in beta
* [misc]taylor:  Taking taylor expansion of 3/2 in beta
* [misc]backup-simplify:  Simplify 3/2 into 3/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 5) (+ beta 3.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ beta 1.0) (* (pow (+ beta 2) 5) (+ beta 3.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 5) (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 5) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 4 4) into 16
* [misc]backup-simplify:  Simplify (* 2 16) into 32
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* 32 3.0) into 96.0
* [misc]backup-simplify:  Simplify (/ 1.0 96.0) into 0.010416666666666666
* [misc]backup-simplify:  Simplify (sqrt 0.010416666666666666) into (sqrt 0.010416666666666666)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 1 2)) into 4
* [misc]backup-simplify:  Simplify (+ (* 4 4) (* 4 4)) into 32
* [misc]backup-simplify:  Simplify (+ (* 2 32) (* 1 16)) into 80
* [misc]backup-simplify:  Simplify (+ (* 32 1) (* 80 3.0)) into 272.0
* [misc]backup-simplify:  Simplify (- (/ 1 96.0) (+ (* 0.010416666666666666 (/ 272.0 96.0)))) into (- 0.019097222222222224)
* [misc]backup-simplify:  Simplify (/ (- 0.019097222222222224) (* 2 (sqrt 0.010416666666666666))) into (/ -0.009548611111111112 (sqrt 0.010416666666666666))
* [misc]backup-simplify:  Simplify (* (sqrt 0.041666666666666664) 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 0.041666666666666664)) into (* 1/2 (sqrt 0.041666666666666664))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 (sqrt 0.041666666666666664))) into (* 1/2 (sqrt 0.041666666666666664))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 0.004629629629629629)) into (* 1/2 (sqrt 0.004629629629629629))
* [misc]backup-simplify:  Simplify (* 3/2 (sqrt 0.010416666666666666)) into (* 3/2 (sqrt 0.010416666666666666))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (sqrt 0.004629629629629629)) (* 3/2 (sqrt 0.010416666666666666))) into (+ (* 1/2 (sqrt 0.004629629629629629)) (* 3/2 (sqrt 0.010416666666666666)))
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (sqrt 0.004629629629629629)) (* 3/2 (sqrt 0.010416666666666666)))) into (- (+ (* 1/2 (sqrt 0.004629629629629629)) (* 3/2 (sqrt 0.010416666666666666))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (sqrt 0.041666666666666664)) (- (+ (* 1/2 (sqrt 0.004629629629629629)) (* 3/2 (sqrt 0.010416666666666666))))) into (- (* 1/2 (sqrt 0.041666666666666664)) (+ (* 1/2 (sqrt 0.004629629629629629)) (* 3/2 (sqrt 0.010416666666666666))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sqrt 0.041666666666666664)) (+ (* 1/2 (sqrt 0.004629629629629629)) (* 3/2 (sqrt 0.010416666666666666)))) into (- (* 1/2 (sqrt 0.041666666666666664)) (+ (* 1/2 (sqrt 0.004629629629629629)) (* 3/2 (sqrt 0.010416666666666666))))
* [misc]backup-simplify:  Simplify (/ -0.01736111111111111 (sqrt 0.041666666666666664)) into (/ -0.01736111111111111 (sqrt 0.041666666666666664))
* [misc]backup-simplify:  Simplify (+ (* (/ -0.01736111111111111 (sqrt 0.041666666666666664)) (* beta 1)) (+ (* (- (* 1/2 (sqrt 0.041666666666666664)) (+ (* 1/2 (sqrt 0.004629629629629629)) (* 3/2 (sqrt 0.010416666666666666)))) (* 1 alpha)) (sqrt 0.041666666666666664))) into (- (+ (* 1/2 (* (sqrt 0.041666666666666664) alpha)) (sqrt 0.041666666666666664)) (+ (* 3/2 (* (sqrt 0.010416666666666666) alpha)) (+ (* 1/2 (* (sqrt 0.004629629629629629) alpha)) (* 0.01736111111111111 (/ beta (sqrt 0.041666666666666664))))))
* [misc]approximate:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) (sqrt (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha))))) (* (+ (+ (/ 1 beta) 2) (/ 1 alpha)) (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) (sqrt (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha))))) (* (+ (+ (/ 1 beta) 2) (/ 1 alpha)) (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) (sqrt (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 beta) (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 1) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 alpha) 1)) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 0) 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 (/ (* +nan.0 (+ (/ 1 alpha) 1)) +nan.0) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 beta) 2) (/ 1 alpha)) (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 0) 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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 (/ 1 alpha)) into (+ (/ 1 alpha) 2)
* [misc]backup-simplify:  Simplify (+ (* 1 +nan.0) (* (+ (/ 1 alpha) 2) 0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 alpha) 1)) (- +nan.0)) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) (sqrt (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha))))) (* (+ (+ (/ 1 beta) 2) (/ 1 alpha)) (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) (sqrt (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 beta) (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) 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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 beta) 1)) +nan.0) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 beta) 2) (/ 1 alpha)) (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 2) 0) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (+ (* 1 +nan.0) (* (+ (/ 1 beta) 2) 0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 beta) 1)) (- +nan.0)) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) (sqrt (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha))))) (* (+ (+ (/ 1 beta) 2) (/ 1 alpha)) (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) (sqrt (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 beta) (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) 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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 beta) 1)) +nan.0) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 beta) 2) (/ 1 alpha)) (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 2) 0) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (+ (* 1 +nan.0) (* (+ (/ 1 beta) 2) 0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 beta) 1)) (- +nan.0)) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (/ 1 beta) 1)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1) 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 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [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 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 1) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1.0 (/ 1 beta)) into (+ (/ 1 beta) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) 1.0) (pow (* +nan.0 (+ (/ 1 beta) 1)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 2) 1.0) into (+ (/ 1 beta) 3.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) 3.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 beta) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) +nan.0) (+ (* (* +nan.0 (+ (/ 1 beta) 1)) (/ (* +nan.0 (- (/ 1 beta) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 2) 0) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) 2) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 beta) +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* +nan.0 (- (/ 1 beta) +nan.0))) (+ (* (+ (/ 1 beta) 2) +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (- +nan.0)) (+ (* (* +nan.0 (+ (/ 1 beta) 1)) (/ (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) (- +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 beta)) (- +nan.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (+ (* +nan.0 0) (+ (* 0 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 (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (+ (* 0 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (+ (/ 1 beta) 1)) (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 3))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 beta) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 3))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))) +nan.0) (+ (* (* +nan.0 (+ (/ 1 beta) 1)) (/ (* +nan.0 (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (/ (* +nan.0 (- (/ 1 beta) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 beta) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 beta)) (- +nan.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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* +nan.0 (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))) (+ (* (+ (/ 1 beta) 2) (* +nan.0 (- (/ 1 beta) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))) (- +nan.0)) (+ (* (* +nan.0 (+ (/ 1 beta) 1)) (/ (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (- +nan.0))) (* (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (/ (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) (- +nan.0))))) into (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0))))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.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 (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 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 (- 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) (sqrt (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha)))))) (* (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) (sqrt (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha)))))) (* (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) (sqrt (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) 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 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- beta)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) -1) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 alpha) 1)) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [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 0) 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 (/ (* +nan.0 (- (/ 1 alpha) 1)) +nan.0) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [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 0) 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 (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 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 (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 (/ -1 alpha)) into (- 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 +nan.0) (* (- 2 (/ 1 alpha)) 0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 alpha) 1)) (- +nan.0)) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) (sqrt (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha)))))) (* (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) (sqrt (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- beta)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) 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]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 beta) 1)) +nan.0) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- 2 (/ 1 beta)) 0) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* -1 +nan.0) (* (- 2 (/ 1 beta)) 0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 beta) 1)) (- +nan.0)) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) (sqrt (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha)))))) (* (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) (sqrt (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- beta)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) 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]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 beta) 1)) +nan.0) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- 2 (/ 1 beta)) 0) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* -1 +nan.0) (* (- 2 (/ 1 beta)) 0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 beta) 1)) (- +nan.0)) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (/ 1 beta) 1)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) 1) 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 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 -1) (* 0 1))) 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 (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (/ 1 beta))) into (- 1.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (- (- 1.0 (/ 1 beta)) (pow (* +nan.0 (- (/ 1 beta) 1)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ (- 2 (/ 1 beta)) 1.0) into (- 3.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (- (- 3.0 (/ 1 beta)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 beta) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) +nan.0) (+ (* (* +nan.0 (- (/ 1 beta) 1)) (/ (* +nan.0 (+ (/ 1 beta) (- +nan.0))) +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- 2 (/ 1 beta)) 0) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (- (- 2 (/ 1 beta)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 beta) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (* +nan.0 (+ (/ 1 beta) (- +nan.0)))) (+ (* (- 2 (/ 1 beta)) +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (- +nan.0)) (+ (* (* +nan.0 (- (/ 1 beta) 1)) (/ (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) (- +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 beta)) (- +nan.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (+ (* +nan.0 0) (+ (* 0 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 (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (+ (* 0 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (- (/ 1 beta) 1)) (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 3))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 beta) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 3))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))) +nan.0) (+ (* (* +nan.0 (- (/ 1 beta) 1)) (/ (* +nan.0 (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (/ (* +nan.0 (+ (/ 1 beta) (- +nan.0))) +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 beta) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 beta)) (- +nan.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) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (* +nan.0 (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))) (+ (* (- 2 (/ 1 beta)) (* +nan.0 (+ (/ 1 beta) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))) (- +nan.0)) (+ (* (* +nan.0 (- (/ 1 beta) 1)) (/ (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (- +nan.0))) (* (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (/ (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) (- +nan.0))))) into (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0))))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.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 (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 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 (- 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (fma beta alpha alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma beta alpha alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) alpha)
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ beta 1.0) 0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 1.0)) into (sqrt (+ beta 1.0))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ beta 1) into (+ beta 1)
* [misc]backup-simplify:  Simplify (+ 0 (+ beta 1)) into (+ beta 1)
* [misc]backup-simplify:  Simplify (/ (+ beta 1) (* 2 (sqrt (+ beta 1.0)))) into (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ alpha 2) (+ beta 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2) (+ beta 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion 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 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (+ 2 (+ beta 1.0)) into (+ beta 3.0)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 3.0)) into (sqrt (+ beta 3.0))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta 3.0)))) into (* 1/2 (sqrt (/ 1 (+ beta 3.0))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta 1.0)) (sqrt (+ beta 3.0))) into (sqrt (/ (+ beta 1.0) (+ beta 3.0)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 2) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking 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 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (+ (+ beta 2) 0) into (+ beta 2)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 2)) into (sqrt (+ beta 2))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta 2)))) into (* 1/2 (sqrt (/ 1 (+ beta 2))))
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (+ beta 1.0) (+ beta 3.0))) (sqrt (+ beta 2))) into (sqrt (/ (+ beta 1.0) (* (+ beta 2) (+ beta 3.0))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (fma beta alpha alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma beta alpha alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) alpha)
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ 1.0 alpha) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 1.0 alpha)) into (sqrt (+ 1.0 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ 1 alpha) into (+ 1 alpha)
* [misc]backup-simplify:  Simplify (/ (+ 1 alpha) (* 2 (sqrt (+ 1.0 alpha)))) into (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ alpha 2) (+ beta 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2) (+ beta 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha 2) 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 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ (+ 2 alpha) 1.0) into (+ 3.0 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 3.0 alpha)) into (sqrt (+ 3.0 alpha))
* [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 (* 2 (sqrt (+ 3.0 alpha)))) into (* 1/2 (sqrt (/ 1 (+ 3.0 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ 1.0 alpha)) (sqrt (+ 3.0 alpha))) into (sqrt (/ (+ 1.0 alpha) (+ 3.0 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 2) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 alpha) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 2 alpha)) into (sqrt (+ 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ 2 alpha)))) into (* 1/2 (sqrt (/ 1 (+ 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (+ 1.0 alpha) (+ 3.0 alpha))) (sqrt (+ 2 alpha))) into (sqrt (/ (+ 1.0 alpha) (* (+ 2 alpha) (+ 3.0 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (fma beta alpha alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma beta alpha alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) alpha)
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ 1.0 alpha) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 1.0 alpha)) into (sqrt (+ 1.0 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ 1 alpha) into (+ 1 alpha)
* [misc]backup-simplify:  Simplify (/ (+ 1 alpha) (* 2 (sqrt (+ 1.0 alpha)))) into (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ alpha 2) (+ beta 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2) (+ beta 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha 2) 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 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ (+ 2 alpha) 1.0) into (+ 3.0 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 3.0 alpha)) into (sqrt (+ 3.0 alpha))
* [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 (* 2 (sqrt (+ 3.0 alpha)))) into (* 1/2 (sqrt (/ 1 (+ 3.0 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ 1.0 alpha)) (sqrt (+ 3.0 alpha))) into (sqrt (/ (+ 1.0 alpha) (+ 3.0 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 2) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 alpha) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 2 alpha)) into (sqrt (+ 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ 2 alpha)))) into (* 1/2 (sqrt (/ 1 (+ 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (+ 1.0 alpha) (+ 3.0 alpha))) (sqrt (+ 2 alpha))) into (sqrt (/ (+ 1.0 alpha) (* (+ 2 alpha) (+ 3.0 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1.0 alpha) (* (+ 2 alpha) (+ 3.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ 1.0 alpha) (* (+ 2 alpha) (+ 3.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 2 alpha) (+ 3.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 3.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 3.0 in alpha
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 3.0 0) into 3.0
* [misc]backup-simplify:  Simplify (* 2 3.0) into 6.0
* [misc]backup-simplify:  Simplify (/ 1.0 6.0) into 0.16666666666666666
* [misc]backup-simplify:  Simplify (sqrt 0.16666666666666666) into (sqrt 0.16666666666666666)
* [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 (+ (* 2 1) (* 1 3.0)) into 5.0
* [misc]backup-simplify:  Simplify (- (/ 1 6.0) (+ (* 0.16666666666666666 (/ 5.0 6.0)))) into 0.027777777777777762
* [misc]backup-simplify:  Simplify (/ 0.027777777777777762 (* 2 (sqrt 0.16666666666666666))) into (/ 0.013888888888888881 (sqrt 0.16666666666666666))
* [misc]backup-simplify:  Simplify (sqrt 0.16666666666666666) into (sqrt 0.16666666666666666)
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha))) (sqrt (+ 3.0 alpha))) (+ (* (sqrt (/ (+ 1.0 alpha) (+ 3.0 alpha))) (/ (* 1/2 (sqrt (/ 1 (+ 3.0 alpha)))) (sqrt (+ 3.0 alpha)))))) into (- (+ (* 1/2 (* (sqrt (/ 1 (* (+ 1.0 alpha) (+ 3.0 alpha)))) alpha)) (* 1/2 (sqrt (/ 1 (* (+ 1.0 alpha) (+ 3.0 alpha)))))) (* 1/2 (sqrt (/ (+ 1.0 alpha) (pow (+ 3.0 alpha) 3)))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 1/2 (* (sqrt (/ 1 (* (+ 1.0 alpha) (+ 3.0 alpha)))) alpha)) (* 1/2 (sqrt (/ 1 (* (+ 1.0 alpha) (+ 3.0 alpha)))))) (* 1/2 (sqrt (/ (+ 1.0 alpha) (pow (+ 3.0 alpha) 3))))) (sqrt (+ 2 alpha))) (+ (* (sqrt (/ (+ 1.0 alpha) (* (+ 2 alpha) (+ 3.0 alpha)))) (/ (* 1/2 (sqrt (/ 1 (+ 2 alpha)))) (sqrt (+ 2 alpha)))))) into (- (+ (* 1/2 (* (sqrt (/ 1 (* (+ 2 alpha) (* (+ 1.0 alpha) (+ 3.0 alpha))))) alpha)) (* 1/2 (sqrt (/ 1 (* (+ 2 alpha) (* (+ 1.0 alpha) (+ 3.0 alpha))))))) (+ (* 1/2 (sqrt (/ (+ 1.0 alpha) (* (pow (+ 2 alpha) 3) (+ 3.0 alpha))))) (* 1/2 (sqrt (/ (+ 1.0 alpha) (* (+ 2 alpha) (pow (+ 3.0 alpha) 3)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (* (sqrt (/ 1 (* (+ 2 alpha) (* (+ 1.0 alpha) (+ 3.0 alpha))))) alpha)) (* 1/2 (sqrt (/ 1 (* (+ 2 alpha) (* (+ 1.0 alpha) (+ 3.0 alpha))))))) (+ (* 1/2 (sqrt (/ (+ 1.0 alpha) (* (pow (+ 2 alpha) 3) (+ 3.0 alpha))))) (* 1/2 (sqrt (/ (+ 1.0 alpha) (* (+ 2 alpha) (pow (+ 3.0 alpha) 3))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ 1 (* (+ 2 alpha) (* (+ 1.0 alpha) (+ 3.0 alpha))))) alpha)) (* 1/2 (sqrt (/ 1 (* (+ 2 alpha) (* (+ 1.0 alpha) (+ 3.0 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (* (+ 2 alpha) (* (+ 1.0 alpha) (+ 3.0 alpha))))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* (+ 2 alpha) (* (+ 1.0 alpha) (+ 3.0 alpha))))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ 2 alpha) (* (+ 1.0 alpha) (+ 3.0 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2 alpha) (* (+ 1.0 alpha) (+ 3.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2 alpha) (* (+ 1.0 alpha) (+ 3.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1.0 alpha) (+ 3.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 3.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 3.0 in alpha
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ 3.0 0) into 3.0
* [misc]backup-simplify:  Simplify (* 1.0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* 2 3.0) into 6.0
* [misc]backup-simplify:  Simplify (/ 1 6.0) into 0.16666666666666666
* [misc]backup-simplify:  Simplify (sqrt 0.16666666666666666) into (sqrt 0.16666666666666666)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1.0 1) (* 1 3.0)) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 4.0) (* 1 3.0)) into 11.0
* [misc]backup-simplify:  Simplify (- (+ (* 0.16666666666666666 (/ 11.0 6.0)))) into (- 0.3055555555555555)
* [misc]backup-simplify:  Simplify (/ (- 0.3055555555555555) (* 2 (sqrt 0.16666666666666666))) into (/ -0.15277777777777776 (sqrt 0.16666666666666666))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (/ 1 (* (+ 2 alpha) (* (+ 1.0 alpha) (+ 3.0 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ 2 alpha) (* (+ 1.0 alpha) (+ 3.0 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2 alpha) (* (+ 1.0 alpha) (+ 3.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2 alpha) (* (+ 1.0 alpha) (+ 3.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 1.0 alpha) (+ 3.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 3.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 3.0 in alpha
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ 3.0 0) into 3.0
* [misc]backup-simplify:  Simplify (* 1.0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* 2 3.0) into 6.0
* [misc]backup-simplify:  Simplify (/ 1 6.0) into 0.16666666666666666
* [misc]backup-simplify:  Simplify (sqrt 0.16666666666666666) into (sqrt 0.16666666666666666)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1.0 1) (* 1 3.0)) into 4.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 4.0) (* 1 3.0)) into 11.0
* [misc]backup-simplify:  Simplify (- (+ (* 0.16666666666666666 (/ 11.0 6.0)))) into (- 0.3055555555555555)
* [misc]backup-simplify:  Simplify (/ (- 0.3055555555555555) (* 2 (sqrt 0.16666666666666666))) into (/ -0.15277777777777776 (sqrt 0.16666666666666666))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (sqrt (/ (+ 1.0 alpha) (* (pow (+ 2 alpha) 3) (+ 3.0 alpha))))) (* 1/2 (sqrt (/ (+ 1.0 alpha) (* (+ 2 alpha) (pow (+ 3.0 alpha) 3)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (/ (+ 1.0 alpha) (* (pow (+ 2 alpha) 3) (+ 3.0 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1.0 alpha) (* (pow (+ 2 alpha) 3) (+ 3.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ 1.0 alpha) (* (pow (+ 2 alpha) 3) (+ 3.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ 2 alpha) 3) (+ 3.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]taylor:  Taking taylor expansion of (+ 3.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 3.0 in alpha
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 2 4) into 8
* [misc]backup-simplify:  Simplify (+ 3.0 0) into 3.0
* [misc]backup-simplify:  Simplify (* 8 3.0) into 24.0
* [misc]backup-simplify:  Simplify (/ 1.0 24.0) into 0.041666666666666664
* [misc]backup-simplify:  Simplify (sqrt 0.041666666666666664) into (sqrt 0.041666666666666664)
* [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 (+ (* 2 1) (* 1 2)) into 4
* [misc]backup-simplify:  Simplify (+ (* 2 4) (* 1 4)) into 12
* [misc]backup-simplify:  Simplify (+ (* 8 1) (* 12 3.0)) into 44.0
* [misc]backup-simplify:  Simplify (- (/ 1 24.0) (+ (* 0.041666666666666664 (/ 44.0 24.0)))) into (- 0.03472222222222222)
* [misc]backup-simplify:  Simplify (/ (- 0.03472222222222222) (* 2 (sqrt 0.041666666666666664))) into (/ -0.01736111111111111 (sqrt 0.041666666666666664))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (/ (+ 1.0 alpha) (* (+ 2 alpha) (pow (+ 3.0 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 1.0 alpha) (* (+ 2 alpha) (pow (+ 3.0 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ 1.0 alpha) (* (+ 2 alpha) (pow (+ 3.0 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ 2 alpha) (pow (+ 3.0 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ 3.0 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 3.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 3.0 in alpha
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 3.0 0) into 3.0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 3.0 3.0) into 9.0
* [misc]backup-simplify:  Simplify (* 3.0 9.0) into 27.0
* [misc]backup-simplify:  Simplify (* 2 27.0) into 54.0
* [misc]backup-simplify:  Simplify (/ 1.0 54.0) into 0.018518518518518517
* [misc]backup-simplify:  Simplify (sqrt 0.018518518518518517) into (sqrt 0.018518518518518517)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 3.0 1) (* 1 3.0)) into 6.0
* [misc]backup-simplify:  Simplify (+ (* 3.0 6.0) (* 1 9.0)) into 27.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 27.0) (* 1 27.0)) into 81.0
* [misc]backup-simplify:  Simplify (- (/ 1 54.0) (+ (* 0.018518518518518517 (/ 81.0 54.0)))) into (- 0.009259259259259259)
* [misc]backup-simplify:  Simplify (/ (- 0.009259259259259259) (* 2 (sqrt 0.018518518518518517))) into (/ -0.004629629629629629 (sqrt 0.018518518518518517))
* [misc]backup-simplify:  Simplify (* (sqrt 0.16666666666666666) 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 0.16666666666666666)) into (* 1/2 (sqrt 0.16666666666666666))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 (sqrt 0.16666666666666666))) into (* 1/2 (sqrt 0.16666666666666666))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 0.041666666666666664)) into (* 1/2 (sqrt 0.041666666666666664))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 0.018518518518518517)) into (* 1/2 (sqrt 0.018518518518518517))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (sqrt 0.041666666666666664)) (* 1/2 (sqrt 0.018518518518518517))) into (+ (* 1/2 (sqrt 0.018518518518518517)) (* 1/2 (sqrt 0.041666666666666664)))
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (sqrt 0.018518518518518517)) (* 1/2 (sqrt 0.041666666666666664)))) into (- (+ (* 1/2 (sqrt 0.018518518518518517)) (* 1/2 (sqrt 0.041666666666666664))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (sqrt 0.16666666666666666)) (- (+ (* 1/2 (sqrt 0.018518518518518517)) (* 1/2 (sqrt 0.041666666666666664))))) into (- (* 1/2 (sqrt 0.16666666666666666)) (+ (* 1/2 (sqrt 0.018518518518518517)) (* 1/2 (sqrt 0.041666666666666664))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sqrt 0.16666666666666666)) (+ (* 1/2 (sqrt 0.018518518518518517)) (* 1/2 (sqrt 0.041666666666666664)))) into (- (* 1/2 (sqrt 0.16666666666666666)) (+ (* 1/2 (sqrt 0.018518518518518517)) (* 1/2 (sqrt 0.041666666666666664))))
* [misc]backup-simplify:  Simplify (/ 0.013888888888888881 (sqrt 0.16666666666666666)) into (/ 0.013888888888888881 (sqrt 0.16666666666666666))
* [misc]backup-simplify:  Simplify (+ (* (/ 0.013888888888888881 (sqrt 0.16666666666666666)) (* alpha 1)) (+ (* (- (* 1/2 (sqrt 0.16666666666666666)) (+ (* 1/2 (sqrt 0.018518518518518517)) (* 1/2 (sqrt 0.041666666666666664)))) (* 1 beta)) (sqrt 0.16666666666666666))) into (- (+ (* 0.013888888888888881 (/ alpha (sqrt 0.16666666666666666))) (+ (sqrt 0.16666666666666666) (* 1/2 (* (sqrt 0.16666666666666666) beta)))) (+ (* 1/2 (* (sqrt 0.018518518518518517) beta)) (* 1/2 (* (sqrt 0.041666666666666664) beta))))
* [misc]approximate:  Taking taylor expansion of (/ (/ (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0)))) (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha)))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0)))) (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1.0) 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 1) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 beta) 1)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2) 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 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1.0) 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) 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 (/ (* +nan.0 (+ (/ 1 beta) 1)) +nan.0) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 beta) 1)) +nan.0) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0)))) (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 alpha)) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2) 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 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 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 (/ (* +nan.0 (+ (/ 1 alpha) 1)) +nan.0) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 0) 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 (/ (* +nan.0 (+ (/ 1 alpha) 1)) +nan.0) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0)))) (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 alpha)) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2) 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 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 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 (/ (* +nan.0 (+ (/ 1 alpha) 1)) +nan.0) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 0) 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 (/ (* +nan.0 (+ (/ 1 alpha) 1)) +nan.0) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (/ 1 alpha) 1)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* +nan.0 1) (* 0 1)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1.0 (/ 1 alpha)) into (+ (/ 1 alpha) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 alpha) 1.0) (pow (* +nan.0 (+ (/ 1 alpha) 1)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 2) into (+ (/ 1 alpha) 2)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 alpha) 2) 1.0) into (+ (/ 1 alpha) 3.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 alpha) 3.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 alpha) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))))) +nan.0) (+ (* (* +nan.0 (+ (/ 1 alpha) 1)) (/ (* +nan.0 (- (/ 1 alpha) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 (/ 1 alpha)) into (+ (/ 1 alpha) 2)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 alpha) 2) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 alpha) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))) +nan.0) (+ (* (* +nan.0 (+ (/ 1 alpha) 1)) (/ (* +nan.0 (- (/ 1 alpha) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.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 (+ (* +nan.0 0) (+ (* 0 1) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (+ (/ 1 alpha) 1)) (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow alpha 3))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 alpha) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow alpha 3)))))))))) +nan.0) (+ (* (* +nan.0 (+ (/ 1 alpha) 1)) (/ (* +nan.0 (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))) (/ (* +nan.0 (- (/ 1 alpha) +nan.0)) +nan.0)))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 alpha) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3)))))))))) +nan.0) (+ (* (* +nan.0 (+ (/ 1 alpha) 1)) (/ (* +nan.0 (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))) (/ (* +nan.0 (- (/ 1 alpha) +nan.0)) +nan.0)))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow alpha 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow alpha 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow alpha 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 beta)) 2)) (+ (* (- +nan.0) (* 1 (/ 1 beta))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0)))) (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0)))) (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 1.0) 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) 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 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) -1) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 beta) 1)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2) 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 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 1.0) 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) 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 (/ (* +nan.0 (- (/ 1 beta) 1)) +nan.0) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 beta) 1)) +nan.0) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0)))) (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [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 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 alpha)) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2) 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 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -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 (/ (* +nan.0 (- (/ 1 alpha) 1)) +nan.0) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [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 0) 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 (/ (* +nan.0 (- (/ 1 alpha) 1)) +nan.0) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0)))) (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [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 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 alpha)) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2) 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 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -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 (/ (* +nan.0 (- (/ 1 alpha) 1)) +nan.0) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [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 0) 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 (/ (* +nan.0 (- (/ 1 alpha) 1)) +nan.0) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (/ 1 alpha) 1)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [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 (+ (* +nan.0 -1) (* 0 1)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.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 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ -1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (/ 1 alpha))) into (- 1.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (- 1.0 (/ 1 alpha)) (pow (* +nan.0 (- (/ 1 alpha) 1)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 2) into (- 2 (/ 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 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ (- 2 (/ 1 alpha)) 1.0) into (- 3.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (- 3.0 (/ 1 alpha)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 alpha) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))))) +nan.0) (+ (* (* +nan.0 (- (/ 1 alpha) 1)) (/ (* +nan.0 (+ (/ 1 alpha) (- +nan.0))) +nan.0)))) into (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.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 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 (/ -1 alpha)) into (- 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (- 2 (/ 1 alpha)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 alpha) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))) +nan.0) (+ (* (* +nan.0 (- (/ 1 alpha) 1)) (/ (* +nan.0 (+ (/ 1 alpha) (- +nan.0))) +nan.0)))) into (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.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 (+ (* +nan.0 0) (+ (* 0 -1) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -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 (* (* +nan.0 (- (/ 1 alpha) 1)) (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow alpha 3))))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 alpha) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow alpha 3)))))))))) +nan.0) (+ (* (* +nan.0 (- (/ 1 alpha) 1)) (/ (* +nan.0 (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))) (/ (* +nan.0 (+ (/ 1 alpha) (- +nan.0))) +nan.0)))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3))))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 alpha) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3)))))))))) +nan.0) (+ (* (* +nan.0 (- (/ 1 alpha) 1)) (/ (* +nan.0 (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))) (/ (* +nan.0 (+ (/ 1 alpha) (- +nan.0))) +nan.0)))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow alpha 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow alpha 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow alpha 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) 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 (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- beta))) 2)) (+ (* (- +nan.0) (* 1 (/ 1 (- beta)))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (log1p (expm1 (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 2 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (expm1 (log1p (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 3 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (hypot (sqrt (+ beta 1.0)) (sqrt (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (+ beta 1.0))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1.0 beta))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (* (/ (/ (hypot (sqrt (+ 1.0 beta)) (sqrt (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 4 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (pow (+ (+ beta 1.0) (fma beta alpha alpha)) 1/2) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 5 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (pow (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) 1) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 6 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (exp (log (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 7 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (log (exp (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 8 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 9 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (cbrt (* (* (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 10 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (* (/ (/ (* (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 11 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (* (/ (/ (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 12 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (sqrt 1) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (* (/ (/ (* 1 (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 13 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (sqrt 1) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (* (/ (/ (* 1 (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 14 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (pow (+ beta 1.0) 3) (pow (fma beta alpha alpha) 3))) (sqrt (+ (* (+ beta 1.0) (+ beta 1.0)) (- (* (fma beta alpha alpha) (fma beta alpha alpha)) (* (+ beta 1.0) (fma beta alpha alpha)))))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (+ beta 1.0) 3) (pow (fma beta alpha alpha) 3)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (+ 1.0 beta) (* (+ 1.0 beta) (+ 1.0 beta)) (pow (fma beta alpha alpha) 3)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (* (/ (/ (/ (sqrt (fma (+ 1.0 beta) (* (+ 1.0 beta) (+ 1.0 beta)) (pow (fma beta alpha alpha) 3))) (sqrt (+ (* (+ beta 1.0) (+ beta 1.0)) (- (* (fma beta alpha alpha) (fma beta alpha alpha)) (* (+ beta 1.0) (fma beta alpha alpha)))))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 15 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (- (* (+ beta 1.0) (+ beta 1.0)) (* (fma beta alpha alpha) (fma beta alpha alpha)))) (sqrt (- (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (- (* (+ beta 1.0) (+ beta 1.0)) (* (fma beta alpha alpha) (fma beta alpha alpha))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (305 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- (+ 1.0 beta) (fma alpha beta alpha)) (+ (fma alpha beta alpha) (+ 1.0 beta))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (* (/ (/ (/ (sqrt (* (- (+ 1.0 beta) (fma alpha beta alpha)) (+ (fma alpha beta alpha) (+ 1.0 beta)))) (sqrt (- (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 16 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 17 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (fabs (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (98 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (* (/ (/ (fabs (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 18 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* 1 (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 19 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (log1p (expm1 (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 20 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (expm1 (log1p (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 21 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (hypot (sqrt (+ 1.0 alpha)) (sqrt (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (+ 1.0 alpha))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (+ alpha 1.0))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (hypot (sqrt (+ alpha 1.0)) (sqrt (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 22 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (pow (+ (+ 1.0 alpha) (fma beta alpha beta)) 1/2) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 23 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (pow (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) 1) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 24 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (exp (log (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 25 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (log (exp (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 26 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (* (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 27 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (cbrt (* (* (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 28 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (* (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (fma alpha beta 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (* (fabs (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 29 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (* (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (* (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 30 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (* (sqrt 1) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (* 1 (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 31 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (* (sqrt 1) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (* 1 (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 32 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (/ (sqrt (+ (pow (+ 1.0 alpha) 3) (pow (fma beta alpha beta) 3))) (sqrt (+ (* (+ 1.0 alpha) (+ 1.0 alpha)) (- (* (fma beta alpha beta) (fma beta alpha beta)) (* (+ 1.0 alpha) (fma beta alpha beta)))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (+ 1.0 alpha) 3) (pow (fma beta alpha beta) 3)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (208 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (+ alpha 1.0) (* (+ alpha 1.0) (+ alpha 1.0)) (pow (fma beta alpha beta) 3)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (/ (sqrt (fma (+ alpha 1.0) (* (+ alpha 1.0) (+ alpha 1.0)) (pow (fma beta alpha beta) 3))) (sqrt (+ (* (+ 1.0 alpha) (+ 1.0 alpha)) (- (* (fma beta alpha beta) (fma beta alpha beta)) (* (+ 1.0 alpha) (fma beta alpha beta)))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 33 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (/ (sqrt (- (* (+ 1.0 alpha) (+ 1.0 alpha)) (* (fma beta alpha beta) (fma beta alpha beta)))) (sqrt (- (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (- (* (+ 1.0 alpha) (+ 1.0 alpha)) (* (fma beta alpha beta) (fma beta alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (287 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- (+ alpha 1.0) (fma alpha beta beta)) (+ (fma alpha beta beta) (+ alpha 1.0))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (/ (sqrt (* (- (+ alpha 1.0) (fma alpha beta beta)) (+ (fma alpha beta beta) (+ alpha 1.0)))) (sqrt (- (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 34 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (* (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 35 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (fabs (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (fabs (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 36 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (* 1 (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 37 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (log1p (expm1 (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* * * * [misc]progress:  [ 38 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (expm1 (log1p (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* * * * [misc]progress:  [ 39 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (pow (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) 1)))>
* * * * [misc]progress:  [ 40 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (exp (- (- (log (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (log (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (log (+ (+ beta 2) alpha)) (log (sqrt (+ (+ beta 2) alpha))))))))>
* [enter]simplify:  Simplifying (- (- (log (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (log (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (log (+ (+ beta 2) alpha)) (log (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (202 enodes)
* * [misc]simplify:  iters left: 2 (345 enodes)
* [exit]simplify:  Simplified to (- (- (log (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (log (+ beta (+ alpha 2)))) (+ (log (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (log (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (exp (- (- (log (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (log (+ beta (+ alpha 2)))) (+ (log (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (log (sqrt (+ beta (+ alpha 2)))))))))
* * * * [misc]progress:  [ 41 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (exp (- (- (log (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (log (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (log (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* [enter]simplify:  Simplifying (- (- (log (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (log (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (log (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* * [misc]simplify:  iters left: 2 (373 enodes)
* [exit]simplify:  Simplified to (- (- (log (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (log (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (log (* (sqrt (+ beta (+ alpha 2))) (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (exp (- (- (log (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (log (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (log (* (sqrt (+ beta (+ alpha 2))) (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 42 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (exp (- (log (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (log (+ (+ beta 2) alpha)) (log (sqrt (+ (+ beta 2) alpha))))))))>
* [enter]simplify:  Simplifying (- (log (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (log (+ (+ beta 2) alpha)) (log (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (181 enodes)
* * [misc]simplify:  iters left: 2 (301 enodes)
* * [misc]simplify:  iters left: 1 (481 enodes)
* [exit]simplify:  Simplified to (- (log (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (+ (log (sqrt (+ (+ 2 alpha) beta))) (log (+ (+ 2 alpha) beta))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (exp (- (log (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (+ (log (sqrt (+ (+ 2 alpha) beta))) (log (+ (+ 2 alpha) beta)))))))
* * * * [misc]progress:  [ 43 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (exp (- (log (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (log (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* [enter]simplify:  Simplifying (- (log (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (log (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (206 enodes)
* * [misc]simplify:  iters left: 2 (337 enodes)
* [exit]simplify:  Simplified to (- (log (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (log (* (sqrt (+ beta (+ 2 alpha))) (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (exp (- (log (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (log (* (sqrt (+ beta (+ 2 alpha))) (+ beta (+ 2 alpha))))))))
* * * * [misc]progress:  [ 44 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (exp (log (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* * * * [misc]progress:  [ 45 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (log (exp (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* * * * [misc]progress:  [ 46 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (cbrt (/ (/ (* (* (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (* (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)) (* (* (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (* (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)) (* (* (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (406 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (+ (+ alpha 1.0) (fma beta alpha beta)) (+ (+ 2 alpha) (+ beta 1.0))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (* (sqrt (+ alpha (+ beta 2))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (cbrt (* (/ (/ (+ (+ alpha 1.0) (fma beta alpha beta)) (+ (+ 2 alpha) (+ beta 1.0))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (* (sqrt (+ alpha (+ beta 2))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))))))))
* * * * [misc]progress:  [ 47 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (cbrt (/ (/ (* (* (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (* (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (* (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (273 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (* (sqrt (+ alpha (+ beta 2))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))))) (/ (/ (+ (+ alpha 1.0) (fma beta alpha beta)) (+ (+ 1.0 2) (+ alpha beta))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (cbrt (* (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (* (sqrt (+ alpha (+ beta 2))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))))) (/ (/ (+ (+ alpha 1.0) (fma beta alpha beta)) (+ (+ 1.0 2) (+ alpha beta))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))))))))
* * * * [misc]progress:  [ 48 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (cbrt (/ (* (* (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (* (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)) (* (* (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha))))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (* (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)) (* (* (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (368 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (/ (+ (+ alpha 1.0) (fma beta alpha beta)) (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (* (* (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha))) (sqrt (+ beta (+ 2 alpha)))) (* (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha))) (sqrt (+ (+ alpha beta) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (cbrt (/ (* (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (/ (+ (+ alpha 1.0) (fma beta alpha beta)) (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (* (* (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha))) (sqrt (+ beta (+ 2 alpha)))) (* (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha))) (sqrt (+ (+ alpha beta) (+ 1.0 2)))))))))
* * * * [misc]progress:  [ 49 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (cbrt (/ (* (* (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (* (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (* (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (234 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ alpha 1.0) (fma beta alpha beta)) (sqrt (+ (+ beta 1.0) (+ 2 alpha)))) (/ (sqrt (+ (+ beta 1.0) (+ 2 alpha))) (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))))) (* (* (* (+ 2 (+ alpha beta)) (+ 2 (+ alpha beta))) (sqrt (+ 2 (+ alpha beta)))) (* (* (+ 2 (+ alpha beta)) (+ 2 (+ alpha beta))) (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (cbrt (/ (/ (/ (+ (+ alpha 1.0) (fma beta alpha beta)) (sqrt (+ (+ beta 1.0) (+ 2 alpha)))) (/ (sqrt (+ (+ beta 1.0) (+ 2 alpha))) (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))))) (* (* (* (+ 2 (+ alpha beta)) (+ 2 (+ alpha beta))) (sqrt (+ 2 (+ alpha beta)))) (* (* (+ 2 (+ alpha beta)) (+ 2 (+ alpha beta))) (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))))))
* * * * [misc]progress:  [ 50 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (* (cbrt (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))) (cbrt (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))))) (cbrt (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* * * * [misc]progress:  [ 51 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (cbrt (* (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* * * * [misc]progress:  [ 52 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (sqrt (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))) (sqrt (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* * * * [misc]progress:  [ 53 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (- (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (- (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))))))>
* * * * [misc]progress:  [ 54 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (* (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ (+ beta 2) (+ alpha 1.0))))) (+ (+ 2 alpha) beta)) (cbrt (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ (+ beta 2) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (* (/ (cbrt (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ (+ beta 2) (+ alpha 1.0))))) (+ (+ 2 alpha) beta)) (cbrt (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ (+ beta 2) (+ alpha 1.0)))))) (/ (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (sqrt (+ beta (+ 2 alpha))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (* (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (sqrt (+ beta (+ 2 alpha)))))))
* * * * [misc]progress:  [ 55 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (164 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (+ alpha (+ beta 2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (sqrt (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (+ alpha (+ beta 2))) (/ (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (sqrt (+ beta (+ 2 alpha))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (sqrt (+ beta (+ 2 alpha)))))))
* * * * [misc]progress:  [ 56 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (199 enodes)
* * [misc]simplify:  iters left: 2 (342 enodes)
* * [misc]simplify:  iters left: 1 (489 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (+ beta (+ 2 alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (* (/ (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (+ beta (+ 2 alpha))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 57 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (264 enodes)
* * [misc]simplify:  iters left: 1 (329 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (* (/ (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (+ alpha (+ beta 2)))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (* (/ (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (+ alpha (+ beta 2)))) (/ (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 58 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (256 enodes)
* * [misc]simplify:  iters left: 1 (323 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (+ (+ alpha beta) 2)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (* (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (+ (+ alpha beta) 2)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 59 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (215 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))) (+ (+ 2 alpha) beta))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))) (+ (+ 2 alpha) beta)) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))) (+ (+ 2 alpha) beta)) (/ (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 60 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (215 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))) (+ (+ 2 alpha) beta))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))) (+ (+ 2 alpha) beta)) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))) (+ (+ 2 alpha) beta)) (/ (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 61 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (256 enodes)
* * [misc]simplify:  iters left: 1 (323 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (+ (+ alpha beta) 2)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (* (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (+ (+ alpha beta) 2)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 62 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) 1) (+ (+ beta 2) alpha)) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) 1) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (284 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (/ (+ beta (+ 2 alpha)) (cbrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (cbrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (/ (+ beta (+ 2 alpha)) (cbrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (cbrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (/ (+ beta (+ 2 alpha)) (cbrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))))) (/ (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 63 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (277 enodes)
* * [misc]simplify:  iters left: 1 (385 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (fma alpha beta beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (fabs (cbrt (+ (fma alpha beta beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (+ alpha (+ beta 2)))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (fabs (cbrt (+ (fma alpha beta beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (+ alpha (+ beta 2)))) (/ (sqrt (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 64 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (221 enodes)
* * [misc]simplify:  iters left: 1 (251 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (* (fabs (cbrt (+ (+ beta 2) (+ alpha 1.0)))) (+ beta (+ 2 alpha))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (* (fabs (cbrt (+ (+ beta 2) (+ alpha 1.0)))) (+ beta (+ 2 alpha)))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (* (fabs (cbrt (+ (+ beta 2) (+ alpha 1.0)))) (+ beta (+ 2 alpha)))) (/ (sqrt (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 65 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (244 enodes)
* * [misc]simplify:  iters left: 1 (274 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (+ beta (+ 2 alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (+ beta (+ 2 alpha))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (+ beta (+ 2 alpha))) (/ (sqrt (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 66 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (160 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ beta (+ 2 alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ beta (+ 2 alpha))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ beta (+ 2 alpha))) (/ (sqrt (cbrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 67 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (160 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ beta (+ 2 alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ beta (+ 2 alpha))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ beta (+ 2 alpha))) (/ (sqrt (cbrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 68 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (244 enodes)
* * [misc]simplify:  iters left: 1 (274 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (+ beta (+ 2 alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (+ beta (+ 2 alpha))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (+ beta (+ 2 alpha))) (/ (sqrt (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 69 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) 1) (+ (+ beta 2) alpha)) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) 1) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (fabs (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (fabs (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 70 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (286 enodes)
* * [misc]simplify:  iters left: 1 (390 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (* (+ (+ beta 2) alpha) (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (* (+ (+ beta 2) alpha) (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 71 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (239 enodes)
* * [misc]simplify:  iters left: 1 (269 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2))))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2))))) (+ beta (+ alpha 2))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2))))) (+ beta (+ alpha 2))) (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 72 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* * [misc]simplify:  iters left: 1 (263 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 73 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha))) (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 74 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha))) (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 75 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* * [misc]simplify:  iters left: 1 (263 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 76 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) 1) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) 1) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ (+ alpha 2) beta)) (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 77 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (285 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha)))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha)))) (+ 2 (+ beta alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha)))) (+ 2 (+ beta alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 78 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ 2 alpha) beta)) (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (+ (+ 2 alpha) beta)) (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (cbrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (+ (+ 2 alpha) beta)) (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (cbrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 79 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 80 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt 1) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))
* * * * [misc]progress:  [ 81 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt 1) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))
* * * * [misc]progress:  [ 82 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 83 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt 1) 1) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) 1) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))
* * * * [misc]progress:  [ 84 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (285 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha)))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha)))) (+ 2 (+ beta alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha)))) (+ 2 (+ beta alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 85 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ 2 alpha) beta)) (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (+ (+ 2 alpha) beta)) (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (cbrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (+ (+ 2 alpha) beta)) (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (cbrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 86 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 87 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt 1) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))
* * * * [misc]progress:  [ 88 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt 1) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))
* * * * [misc]progress:  [ 89 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 90 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt 1) 1) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) 1) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))
* * * * [misc]progress:  [ 91 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (286 enodes)
* * [misc]simplify:  iters left: 1 (390 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (* (+ (+ beta 2) alpha) (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (* (+ (+ beta 2) alpha) (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 92 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (239 enodes)
* * [misc]simplify:  iters left: 1 (269 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2))))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2))))) (+ beta (+ alpha 2))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2))))) (+ beta (+ alpha 2))) (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 93 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* * [misc]simplify:  iters left: 1 (263 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 94 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha))) (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 95 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha))) (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 96 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* * [misc]simplify:  iters left: 1 (263 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 97 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) 1) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) 1) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ (+ alpha 2) beta)) (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 98 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (287 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha 2) beta)) (* (cbrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ beta 2) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (+ (+ alpha 2) beta)) (* (cbrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 99 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (140 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha 2) beta)) (fabs (cbrt (+ (+ beta 2) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (+ (+ alpha 2) beta)) (fabs (cbrt (+ (+ beta 2) (+ alpha 1.0))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (cbrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (+ (+ alpha 2) beta)) (fabs (cbrt (+ (+ beta 2) (+ alpha 1.0))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (cbrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 100 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (137 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 101 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))
* * * * [misc]progress:  [ 102 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))
* * * * [misc]progress:  [ 103 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (137 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 104 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ 1 1) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ alpha (+ 2 beta)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ 1 (+ alpha (+ 2 beta))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ 1 (+ alpha (+ 2 beta))) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))
* * * * [misc]progress:  [ 105 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))
* * * * [misc]progress:  [ 106 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ (+ beta 2) alpha)) (/ (/ 1 (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (+ (+ 2 alpha) beta))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (+ (+ 2 alpha) beta)) (/ (/ 1 (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ beta 2) (+ alpha 1.0)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ (+ beta 2) alpha)) (/ (/ 1 (sqrt (+ (+ beta 2) (+ alpha 1.0)))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 107 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (+ (pow beta 3) (pow 2 3)) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))) (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (+ (pow 1.0 3) (pow alpha 3)))))) (+ (+ beta 2) alpha)) (/ (sqrt (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (+ (pow beta 3) (pow 2 3)) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))) (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (+ (pow 1.0 3) (pow alpha 3)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (93 enodes)
* * [misc]simplify:  iters left: 4 (265 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ beta (+ 2 alpha))) (sqrt (fma (fma alpha (- alpha 1.0) (* 1.0 1.0)) (fma beta (* beta beta) 8) (* (fma alpha (* alpha alpha) (pow 1.0 3)) (fma (- 2 beta) 2 (* beta beta))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ beta (+ 2 alpha))) (sqrt (fma (fma alpha (- alpha 1.0) (* 1.0 1.0)) (fma beta (* beta beta) 8) (* (fma alpha (* alpha alpha) (pow 1.0 3)) (fma (- 2 beta) 2 (* beta beta)))))) (/ (sqrt (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (132 enodes)
* * [misc]simplify:  iters left: 3 (459 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (fma alpha (- alpha 1.0) (* 1.0 1.0)) (fma -2 beta (fma beta beta 4)))) (sqrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ beta (+ 2 alpha))) (sqrt (fma (fma alpha (- alpha 1.0) (* 1.0 1.0)) (fma beta (* beta beta) 8) (* (fma alpha (* alpha alpha) (pow 1.0 3)) (fma (- 2 beta) 2 (* beta beta)))))) (/ (sqrt (* (fma alpha (- alpha 1.0) (* 1.0 1.0)) (fma -2 beta (fma beta beta 4)))) (sqrt (+ alpha (+ beta 2)))))))
* * * * [misc]progress:  [ 108 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (+ (pow beta 3) (pow 2 3)) (- 1.0 alpha)) (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (- (* 1.0 1.0) (* alpha alpha)))))) (+ (+ beta 2) alpha)) (/ (sqrt (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (- 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (+ (pow beta 3) (pow 2 3)) (- 1.0 alpha)) (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (- (* 1.0 1.0) (* alpha alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (68 enodes)
* * [misc]simplify:  iters left: 4 (156 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ beta (+ 2 alpha))) (sqrt (fma (fma (- 2 beta) 2 (* beta beta)) (- (* 1.0 1.0) (* alpha alpha)) (* (fma beta (* beta beta) 8) (- 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ beta (+ 2 alpha))) (sqrt (fma (fma (- 2 beta) 2 (* beta beta)) (- (* 1.0 1.0) (* alpha alpha)) (* (fma beta (* beta beta) 8) (- 1.0 alpha))))) (/ (sqrt (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (- 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (- 1.0 alpha))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (- 1.0 alpha) (fma beta -2 (fma beta beta 4)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ beta (+ 2 alpha))) (sqrt (fma (fma (- 2 beta) 2 (* beta beta)) (- (* 1.0 1.0) (* alpha alpha)) (* (fma beta (* beta beta) 8) (- 1.0 alpha))))) (/ (sqrt (* (- 1.0 alpha) (fma beta -2 (fma beta beta 4)))) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 109 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (- (* beta beta) (* 2 2)) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))) (* (- beta 2) (+ (pow 1.0 3) (pow alpha 3)))))) (+ (+ beta 2) alpha)) (/ (sqrt (* (- beta 2) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (- (* beta beta) (* 2 2)) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))) (* (- beta 2) (+ (pow 1.0 3) (pow alpha 3)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (80 enodes)
* * [misc]simplify:  iters left: 4 (239 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ (+ alpha beta) 2)) (sqrt (fma (- beta 2) (fma (* alpha alpha) alpha (pow 1.0 3)) (* (fma beta beta -4) (fma (- alpha 1.0) alpha (* 1.0 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ (+ alpha beta) 2)) (sqrt (fma (- beta 2) (fma (* alpha alpha) alpha (pow 1.0 3)) (* (fma beta beta -4) (fma (- alpha 1.0) alpha (* 1.0 1.0)))))) (/ (sqrt (* (- beta 2) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (- beta 2) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (300 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (- beta 2) (fma alpha (- alpha 1.0) (* 1.0 1.0)))) (sqrt (+ 2 (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ (+ alpha beta) 2)) (sqrt (fma (- beta 2) (fma (* alpha alpha) alpha (pow 1.0 3)) (* (fma beta beta -4) (fma (- alpha 1.0) alpha (* 1.0 1.0)))))) (/ (sqrt (* (- beta 2) (fma alpha (- alpha 1.0) (* 1.0 1.0)))) (sqrt (+ 2 (+ alpha beta)))))))
* * * * [misc]progress:  [ 110 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (- (* beta beta) (* 2 2)) (- 1.0 alpha)) (* (- beta 2) (- (* 1.0 1.0) (* alpha alpha)))))) (+ (+ beta 2) alpha)) (/ (sqrt (* (- beta 2) (- 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (- (* beta beta) (* 2 2)) (- 1.0 alpha)) (* (- beta 2) (- (* 1.0 1.0) (* alpha alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (134 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ beta (+ alpha 2))) (sqrt (fma (- beta 2) (* (- 1.0 alpha) (+ alpha 1.0)) (* (fma beta beta -4) (- 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ beta (+ alpha 2))) (sqrt (fma (- beta 2) (* (- 1.0 alpha) (+ alpha 1.0)) (* (fma beta beta -4) (- 1.0 alpha))))) (/ (sqrt (* (- beta 2) (- 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (- beta 2) (- 1.0 alpha))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* * [misc]simplify:  iters left: 1 (391 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (+ beta -2) (- 1.0 alpha))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ beta (+ alpha 2))) (sqrt (fma (- beta 2) (* (- 1.0 alpha) (+ alpha 1.0)) (* (fma beta beta -4) (- 1.0 alpha))))) (/ (sqrt (* (+ beta -2) (- 1.0 alpha))) (sqrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 111 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (pow (+ beta 2) 3) (pow (+ 1.0 alpha) 3)))) (+ (+ beta 2) alpha)) (/ (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* (+ 1.0 alpha) (+ 1.0 alpha)) (* (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (pow (+ beta 2) 3) (pow (+ 1.0 alpha) 3)))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (310 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (+ 2 (+ alpha beta))) (sqrt (fma (+ alpha 1.0) (* (+ alpha 1.0) (+ alpha 1.0)) (pow (+ beta 2) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (+ 2 (+ alpha beta))) (sqrt (fma (+ alpha 1.0) (* (+ alpha 1.0) (+ alpha 1.0)) (pow (+ beta 2) 3)))) (/ (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* (+ 1.0 alpha) (+ 1.0 alpha)) (* (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* (+ 1.0 alpha) (+ 1.0 alpha)) (* (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (178 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (- (+ alpha 1.0) (+ 2 beta)) (+ alpha 1.0) (* (+ 2 beta) (+ 2 beta)))) (sqrt (+ beta (+ 2 alpha))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (pow (+ beta 2) 3) (pow (+ 1.0 alpha) 3)))) (+ (+ beta 2) alpha)) (/ (sqrt (fma (- (+ alpha 1.0) (+ 2 beta)) (+ alpha 1.0) (* (+ 2 beta) (+ 2 beta)))) (sqrt (+ beta (+ 2 alpha)))))))
* * * * [misc]progress:  [ 112 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (- (* (+ beta 2) (+ beta 2)) (* (+ 1.0 alpha) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (sqrt (- (+ beta 2) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (- (* (+ beta 2) (+ beta 2)) (* (+ 1.0 alpha) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (141 enodes)
* * [misc]simplify:  iters left: 3 (435 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (+ (+ alpha beta) 2)) (sqrt (- (* (+ beta 2) (+ beta 2)) (* (+ alpha 1.0) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (+ (+ alpha beta) 2)) (sqrt (- (* (+ beta 2) (+ beta 2)) (* (+ alpha 1.0) (+ alpha 1.0))))) (/ (sqrt (- (+ beta 2) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (+ beta 2) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (216 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (- beta 1.0) (- 2 alpha))) (sqrt (+ beta (+ 2 alpha))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (- (* (+ beta 2) (+ beta 2)) (* (+ 1.0 alpha) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (sqrt (+ (- beta 1.0) (- 2 alpha))) (sqrt (+ beta (+ 2 alpha)))))))
* * * * [misc]progress:  [ 113 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* 1 (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))))))>
* * * * [misc]progress:  [ 114 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (/ 1 (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))))))>
* * * * [misc]progress:  [ 115 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* * * * [misc]progress:  [ 116 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))))>
* [enter]simplify:  Simplifying (sqrt (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ alpha beta) 2))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (+ (+ beta 2) alpha)) (sqrt (+ (+ alpha beta) 2)))))
* * * * [misc]progress:  [ 117 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (170 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))) (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (cbrt (/ (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))) (sqrt (+ (+ 2 alpha) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (/ (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))) (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (cbrt (/ (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))) (sqrt (+ (+ 2 alpha) (+ beta 1.0)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 118 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (147 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (sqrt (+ (+ beta 2) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (sqrt (+ (+ beta 2) (+ alpha 1.0))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 119 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 120 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))))) (fabs (cbrt (+ (+ beta 2) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (* (cbrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))))) (fabs (cbrt (+ (+ beta 2) (+ alpha 1.0))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 121 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (/ (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))) (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (/ (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))) (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 122 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 123 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 124 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (/ (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))) (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (/ (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))) (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 125 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) 1) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 126 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (161 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (* (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (* (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 127 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (fabs (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 128 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (160 enodes)
* * [misc]simplify:  iters left: 1 (180 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (fabs (cbrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 129 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 130 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 131 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (160 enodes)
* * [misc]simplify:  iters left: 1 (180 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (fabs (cbrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 132 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) 1) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ 1.0 beta) (fma alpha beta alpha))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (fabs (cbrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 133 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 134 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (fabs (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (fabs (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 135 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 136 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 137 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 138 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 139 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) 1) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta 1.0) (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ beta alpha)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 140 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))) (cbrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ 1 (* (cbrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))) (cbrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 141 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ 1 (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 142 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ 1 (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 143 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt 1) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 144 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt 1) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 145 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ 1 (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 146 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt 1) 1) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) 1)
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 147 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))) (cbrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ 1 (* (cbrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))) (cbrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 148 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ 1 (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 149 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ 1 (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 150 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt 1) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 151 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt 1) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 152 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ 1 (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 153 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt 1) 1) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) 1)
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 154 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 155 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (fabs (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (fabs (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 156 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 157 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 158 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 159 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 160 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) 1) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta 1.0) (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ beta alpha)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 161 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ 1 (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ beta 2) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ 1 (* (cbrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 162 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ 1 (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ beta 2) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ 1 (fabs (cbrt (+ (+ beta 2) (+ alpha 1.0))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 163 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 164 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ 1 (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 165 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ 1 (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 166 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 167 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ 1 1) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 168 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* * * * [misc]progress:  [ 169 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 170 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (+ (pow beta 3) (pow 2 3)) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))) (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (+ (pow 1.0 3) (pow alpha 3)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (+ (pow beta 3) (pow 2 3)) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))) (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (+ (pow 1.0 3) (pow alpha 3))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (247 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (sqrt (fma (fma (- alpha 1.0) alpha (* 1.0 1.0)) (fma (* beta beta) beta 8) (* (fma alpha (* alpha alpha) (pow 1.0 3)) (fma (- 2 beta) 2 (* beta beta))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (sqrt (fma (fma (- alpha 1.0) alpha (* 1.0 1.0)) (fma (* beta beta) beta 8) (* (fma alpha (* alpha alpha) (pow 1.0 3)) (fma (- 2 beta) 2 (* beta beta)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))))))))
* * * * [misc]progress:  [ 171 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (+ (pow beta 3) (pow 2 3)) (- 1.0 alpha)) (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (- (* 1.0 1.0) (* alpha alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (- 1.0 alpha)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (+ (pow beta 3) (pow 2 3)) (- 1.0 alpha)) (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (- (* 1.0 1.0) (* alpha alpha))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* * [misc]simplify:  iters left: 3 (475 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (* (- 1.0 alpha) (fma (+ alpha 1.0) (fma beta -2 (fma beta beta 4)) (fma beta (* beta beta) 8)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (* (- 1.0 alpha) (fma (+ alpha 1.0) (fma beta -2 (fma beta beta 4)) (fma beta (* beta beta) 8))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (- 1.0 alpha)))))))
* * * * [misc]progress:  [ 172 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (- (* beta beta) (* 2 2)) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))) (* (- beta 2) (+ (pow 1.0 3) (pow alpha 3)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (* (- beta 2) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (- (* beta beta) (* 2 2)) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))) (* (- beta 2) (+ (pow 1.0 3) (pow alpha 3))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (223 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (sqrt (fma (- beta 2) (fma (* alpha alpha) alpha (pow 1.0 3)) (* (fma beta beta -4) (fma alpha (- alpha 1.0) (* 1.0 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (sqrt (fma (- beta 2) (fma (* alpha alpha) alpha (pow 1.0 3)) (* (fma beta beta -4) (fma alpha (- alpha 1.0) (* 1.0 1.0)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (* (- beta 2) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))))))))
* * * * [misc]progress:  [ 173 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (- (* beta beta) (* 2 2)) (- 1.0 alpha)) (* (- beta 2) (- (* 1.0 1.0) (* alpha alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (* (- beta 2) (- 1.0 alpha)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (- (* beta beta) (* 2 2)) (- 1.0 alpha)) (* (- beta 2) (- (* 1.0 1.0) (* alpha alpha))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* * [misc]simplify:  iters left: 3 (494 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (* (- 1.0 alpha) (fma (+ beta -2) (+ alpha 1.0) (fma beta beta -4)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (* (- 1.0 alpha) (fma (+ beta -2) (+ alpha 1.0) (fma beta beta -4))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (* (- beta 2) (- 1.0 alpha)))))))
* * * * [misc]progress:  [ 174 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (pow (+ beta 2) 3) (pow (+ 1.0 alpha) 3)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* (+ 1.0 alpha) (+ 1.0 alpha)) (* (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (pow (+ beta 2) 3) (pow (+ 1.0 alpha) 3))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))) (sqrt (fma (* (+ beta 2) (+ beta 2)) (+ beta 2) (pow (+ alpha 1.0) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))) (sqrt (fma (* (+ beta 2) (+ beta 2)) (+ beta 2) (pow (+ alpha 1.0) 3)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* (+ 1.0 alpha) (+ 1.0 alpha)) (* (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 175 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (- (* (+ beta 2) (+ beta 2)) (* (+ 1.0 alpha) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (- (+ beta 2) (+ 1.0 alpha)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (- (* (+ beta 2) (+ beta 2)) (* (+ 1.0 alpha) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* * [misc]simplify:  iters left: 3 (402 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (- (* (+ beta 2) (+ beta 2)) (* (+ alpha 1.0) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (- (* (+ beta 2) (+ beta 2)) (* (+ alpha 1.0) (+ alpha 1.0))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (- (+ beta 2) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 176 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (pow (+ beta 2) 3) (pow alpha 3)) (sqrt (+ (pow (+ beta 2) 3) (pow alpha 3))))) (* (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha))) (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha))))))))>
* [enter]simplify:  Simplifying (* (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha))) (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (300 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- (fma (+ 2 beta) (+ 2 beta) (* alpha alpha)) (* alpha (+ 2 beta)))) (- (fma (+ 2 beta) (+ 2 beta) (* alpha alpha)) (* alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (pow (+ beta 2) 3) (pow alpha 3)) (sqrt (+ (pow (+ beta 2) 3) (pow alpha 3))))) (* (sqrt (- (fma (+ 2 beta) (+ 2 beta) (* alpha alpha)) (* alpha (+ 2 beta)))) (- (fma (+ 2 beta) (+ 2 beta) (* alpha alpha)) (* alpha (+ 2 beta)))))))
* * * * [misc]progress:  [ 177 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (pow (+ beta 2) 3) (pow alpha 3)) (sqrt (- (* (+ beta 2) (+ beta 2)) (* alpha alpha))))) (* (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha))) (sqrt (- (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (* (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha))) (sqrt (- (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (322 enodes)
* [exit]simplify:  Simplified to (* (fma alpha (- (- alpha beta) 2) (* (+ 2 beta) (+ 2 beta))) (sqrt (+ (- 2 alpha) beta)))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (pow (+ beta 2) 3) (pow alpha 3)) (sqrt (- (* (+ beta 2) (+ beta 2)) (* alpha alpha))))) (* (fma alpha (- (- alpha beta) 2) (* (+ 2 beta) (+ 2 beta))) (sqrt (+ (- 2 alpha) beta))))))
* * * * [misc]progress:  [ 178 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (- (* (+ beta 2) (+ beta 2)) (* alpha alpha)) (sqrt (+ (pow (+ beta 2) 3) (pow alpha 3))))) (* (- (+ beta 2) alpha) (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha))))))))>
* [enter]simplify:  Simplifying (* (- (+ beta 2) alpha) (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (304 enodes)
* [exit]simplify:  Simplified to (* (+ (- 2 alpha) beta) (sqrt (fma (- alpha (+ 2 beta)) alpha (* (+ 2 beta) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (- (* (+ beta 2) (+ beta 2)) (* alpha alpha)) (sqrt (+ (pow (+ beta 2) 3) (pow alpha 3))))) (* (+ (- 2 alpha) beta) (sqrt (fma (- alpha (+ 2 beta)) alpha (* (+ 2 beta) (+ 2 beta))))))))
* * * * [misc]progress:  [ 179 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (- (* (+ beta 2) (+ beta 2)) (* alpha alpha)) (sqrt (- (* (+ beta 2) (+ beta 2)) (* alpha alpha))))) (* (- (+ beta 2) alpha) (sqrt (- (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (* (- (+ beta 2) alpha) (sqrt (- (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (- 2 (- alpha beta)) (sqrt (- 2 (- alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (- (* (+ beta 2) (+ beta 2)) (* alpha alpha)) (sqrt (- (* (+ beta 2) (+ beta 2)) (* alpha alpha))))) (* (- 2 (- alpha beta)) (sqrt (- 2 (- alpha beta)))))))
* * * * [misc]progress:  [ 180 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (pow (+ beta 2) 3) (pow alpha 3))))) (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (252 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (+ 2 beta) (+ (- alpha) (+ 2 beta)) (* alpha alpha)))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (pow (+ beta 2) 3) (pow alpha 3))))) (sqrt (fma (+ 2 beta) (+ (- alpha) (+ 2 beta)) (* alpha alpha))))))
* * * * [misc]progress:  [ 181 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (- (* (+ beta 2) (+ beta 2)) (* alpha alpha))))) (sqrt (- (+ beta 2) alpha)))))>
* [enter]simplify:  Simplifying (sqrt (- (+ beta 2) alpha))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (- beta alpha) 2))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (- (* (+ beta 2) (+ beta 2)) (* alpha alpha))))) (sqrt (+ (- beta alpha) 2)))))
* * * * [misc]progress:  [ 182 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (pow (+ beta 2) 3) (pow alpha 3)) (sqrt (+ (+ beta 2) alpha)))) (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (256 enodes)
* [exit]simplify:  Simplified to (fma (+ 2 beta) (+ (- alpha) (+ 2 beta)) (* alpha alpha))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (pow (+ beta 2) 3) (pow alpha 3)) (sqrt (+ (+ beta 2) alpha)))) (fma (+ 2 beta) (+ (- alpha) (+ 2 beta)) (* alpha alpha)))))
* * * * [misc]progress:  [ 183 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (- (* (+ beta 2) (+ beta 2)) (* alpha alpha)) (sqrt (+ (+ beta 2) alpha)))) (- (+ beta 2) alpha))))>
* [enter]simplify:  Simplifying (- (+ beta 2) alpha)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (+ (- 2 alpha) beta)
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (- (* (+ beta 2) (+ beta 2)) (* alpha alpha)) (sqrt (+ (+ beta 2) alpha)))) (+ (- 2 alpha) beta))))
* * * * [misc]progress:  [ 184 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (* (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (* (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 185 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (log1p (expm1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 186 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (expm1 (log1p (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 187 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (pow (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) 1) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 188 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (exp (- (- (log (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (log (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (log (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (- (- (log (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (log (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (log (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (275 enodes)
* [exit]simplify:  Simplified to (- (- (log (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (log (sqrt (+ 2 (+ alpha beta))))) (log (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (exp (- (- (log (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (log (sqrt (+ 2 (+ alpha beta))))) (log (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 189 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (exp (- (log (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (log (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (- (log (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (log (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (208 enodes)
* * [misc]simplify:  iters left: 1 (245 enodes)
* [exit]simplify:  Simplified to (- (log (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (log (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (exp (- (log (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (log (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 190 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (exp (log (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 191 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (log (exp (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 192 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (cbrt (/ (/ (* (* (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (205 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (+ (+ 1.0 beta) (fma beta alpha alpha)) (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (+ (+ alpha beta) 2)) (* (* (+ (+ alpha 2) (+ 1.0 beta)) (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (cbrt (/ (/ (* (+ (+ 1.0 beta) (fma beta alpha alpha)) (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (+ (+ alpha beta) 2)) (* (* (+ (+ alpha 2) (+ 1.0 beta)) (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (sqrt (+ (+ alpha beta) 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 193 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (cbrt (/ (* (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (158 enodes)
* * [misc]simplify:  iters left: 3 (400 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ alpha beta) (fma beta alpha 1.0)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (+ (+ 1.0 alpha) (+ beta 2))) (/ (+ beta (+ alpha 2)) (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (cbrt (/ (/ (/ (+ (+ alpha beta) (fma beta alpha 1.0)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (+ (+ 1.0 alpha) (+ beta 2))) (/ (+ beta (+ alpha 2)) (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ beta (+ alpha 2))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 194 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (* (cbrt (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (cbrt (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))))) (cbrt (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 195 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (cbrt (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 196 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (sqrt (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ alpha 2) (+ beta 1.0))) (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (+ (+ alpha 2) (+ beta 1.0))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (412 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (* (+ (+ alpha beta) (+ 1.0 2)) (+ 2 (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (sqrt (/ (+ (fma alpha beta beta) (+ 1.0 alpha)) (* (+ (+ alpha beta) (+ 1.0 2)) (+ 2 (+ alpha beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 197 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (sqrt (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (sqrt (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 198 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (- (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (- (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 199 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (/ (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (cbrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 200 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (180 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (fabs (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (fabs (cbrt (+ beta (+ alpha 2)))))) (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (sqrt (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (fabs (cbrt (+ beta (+ alpha 2)))))) (/ (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (sqrt (cbrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 201 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (/ (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 202 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1)) (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (177 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 203 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (/ (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 204 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) 1) (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 205 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (cbrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 206 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (161 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (fabs (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (sqrt (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (sqrt (cbrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 207 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 208 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1)) (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (173 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 209 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 210 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1) (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1)
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (160 enodes)
* * [misc]simplify:  iters left: 1 (173 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (sqrt (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 211 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (234 enodes)
* * [misc]simplify:  iters left: 2 (381 enodes)
* * [misc]simplify:  iters left: 1 (458 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (cbrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (/ (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 212 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (259 enodes)
* * [misc]simplify:  iters left: 1 (294 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (fabs (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 213 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (266 enodes)
* * [misc]simplify:  iters left: 1 (308 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 214 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1)) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (413 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 215 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (266 enodes)
* * [misc]simplify:  iters left: 1 (308 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 216 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) 1) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (417 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))))) (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 217 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (182 enodes)
* * [misc]simplify:  iters left: 2 (268 enodes)
* * [misc]simplify:  iters left: 1 (309 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (fabs (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (fabs (cbrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (fabs (cbrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 218 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (208 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))))) (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 219 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (208 enodes)
* * [misc]simplify:  iters left: 1 (227 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (* (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (* (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (sqrt (+ (+ alpha beta) 2))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (* (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (sqrt (+ (+ alpha beta) 2))))) (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 220 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1)) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (246 enodes)
* * [misc]simplify:  iters left: 1 (268 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha))))) (fabs (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (* (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha))))) (fabs (cbrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (* (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha))))) (fabs (cbrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 221 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (208 enodes)
* * [misc]simplify:  iters left: 1 (227 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (* (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (* (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (sqrt (+ (+ alpha beta) 2))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (* (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (sqrt (+ (+ alpha beta) 2))))) (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 222 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) 1) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (150 enodes)
* * [misc]simplify:  iters left: 2 (261 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (fabs (cbrt (+ (+ alpha beta) (+ 2 1.0)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (fabs (cbrt (+ (+ alpha beta) (+ 2 1.0)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (fabs (cbrt (+ (+ alpha beta) (+ 2 1.0)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))))) (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 223 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* * [misc]simplify:  iters left: 2 (259 enodes)
* * [misc]simplify:  iters left: 1 (299 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 224 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (208 enodes)
* * [misc]simplify:  iters left: 1 (227 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (* (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (* (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ alpha beta) 2))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (* (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ alpha beta) 2))))) (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 225 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 226 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1)) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (284 enodes)
* * [misc]simplify:  iters left: 1 (306 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (/ (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (/ (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (/ (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 227 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 228 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (285 enodes)
* * [misc]simplify:  iters left: 1 (321 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))) (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 229 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (396 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 230 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (fabs (cbrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (fabs (cbrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (fabs (cbrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 231 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (205 enodes)
* * [misc]simplify:  iters left: 1 (309 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 232 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt 1)) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 233 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (205 enodes)
* * [misc]simplify:  iters left: 1 (309 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 234 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) 1) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (140 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 235 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (396 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 236 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (fabs (cbrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (fabs (cbrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (fabs (cbrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 237 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (205 enodes)
* * [misc]simplify:  iters left: 1 (309 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 238 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt 1)) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 239 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (205 enodes)
* * [misc]simplify:  iters left: 1 (309 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 240 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) 1) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (140 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 241 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* * [misc]simplify:  iters left: 2 (259 enodes)
* * [misc]simplify:  iters left: 1 (299 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 242 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (208 enodes)
* * [misc]simplify:  iters left: 1 (227 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (* (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (* (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ alpha beta) 2))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (* (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ alpha beta) 2))))) (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 243 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 244 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1)) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (284 enodes)
* * [misc]simplify:  iters left: 1 (306 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (/ (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (/ (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (/ (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 245 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 246 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (285 enodes)
* * [misc]simplify:  iters left: 1 (321 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))) (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 247 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (177 enodes)
* * [misc]simplify:  iters left: 2 (430 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 248 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (253 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))) (fabs (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 249 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (293 enodes)
* * [misc]simplify:  iters left: 1 (312 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 250 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (sqrt 1)) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (171 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 251 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (293 enodes)
* * [misc]simplify:  iters left: 1 (312 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (/ (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 252 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) 1) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 253 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (207 enodes)
* * [misc]simplify:  iters left: 1 (229 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (* (* (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (* (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (+ alpha beta) 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (* (* (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (* (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (+ alpha beta) 2)))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (* (* (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (* (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (+ alpha beta) 2)))))) (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 254 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))) (fabs (cbrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))) (fabs (cbrt (+ (+ alpha beta) 2))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))) (fabs (cbrt (+ (+ alpha beta) 2))))) (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 255 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* * [misc]simplify:  iters left: 1 (206 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 256 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1)) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (182 enodes)
* * [misc]simplify:  iters left: 1 (195 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 257 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* * [misc]simplify:  iters left: 1 (206 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 258 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) 1) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (182 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (* (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (* (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (* (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 259 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (201 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (fabs (cbrt (+ (+ alpha beta) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (fabs (cbrt (+ (+ alpha beta) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (fabs (cbrt (+ (+ alpha beta) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 260 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (fabs (cbrt (+ (+ alpha beta) 2)))) (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (fabs (cbrt (+ (+ alpha beta) 2)))) (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (fabs (cbrt (+ (+ alpha beta) 2)))) (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 261 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (fabs (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (fabs (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (fabs (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 262 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1)) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (201 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta))))) (/ (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 263 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (fabs (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (fabs (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (fabs (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 264 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) 1) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (fabs (cbrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (fabs (cbrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (fabs (cbrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 265 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (211 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 266 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (fabs (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 267 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 268 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1)) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (190 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (/ (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 269 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 270 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 271 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (147 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 272 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (134 enodes)
* * [misc]simplify:  iters left: 1 (156 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 273 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (146 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 274 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 275 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (146 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 276 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) 1) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 277 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (147 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 278 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (134 enodes)
* * [misc]simplify:  iters left: 1 (156 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 279 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (146 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 280 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 281 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (146 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 282 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) 1) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 283 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (211 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 284 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (fabs (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 285 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 286 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1)) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (190 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (/ (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 287 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (/ (sqrt (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 288 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 289 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (fabs (cbrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 290 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (fabs (cbrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (fabs (cbrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (fabs (cbrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 291 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 292 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (sqrt 1)) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 293 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 294 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) 1) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 295 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (237 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (* (* (cbrt (sqrt (+ 2 (+ alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (* (cbrt (sqrt (+ 2 (+ alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (* (* (cbrt (sqrt (+ 2 (+ alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (* (cbrt (sqrt (+ 2 (+ alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 296 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (fabs (cbrt (+ 2 (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (fabs (cbrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (fabs (cbrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 297 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (137 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (201 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 298 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (202 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 299 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (137 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (201 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 300 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) 1) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (196 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 301 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ 1.0 2) (+ alpha beta))))) (* (cbrt (sqrt (+ 2 (+ alpha beta)))) (cbrt (sqrt (+ 2 (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ 1.0 2) (+ alpha beta))))) (* (cbrt (sqrt (+ 2 (+ alpha beta)))) (cbrt (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ 1.0 2) (+ alpha beta))))) (* (cbrt (sqrt (+ 2 (+ alpha beta)))) (cbrt (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 302 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (201 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (* (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2)))) (fabs (cbrt (+ 2 (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (* (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2)))) (fabs (cbrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (* (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2)))) (fabs (cbrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 303 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 304 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (190 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ (+ 1.0 2) (+ alpha beta))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ (+ 1.0 2) (+ alpha beta))))) (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 305 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 306 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) 1) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 307 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 308 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 309 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 310 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 311 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 312 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 313 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (135 enodes)
* * [misc]simplify:  iters left: 1 (148 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 314 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (145 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 315 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 316 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 317 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 318 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) 1) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 319 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (135 enodes)
* * [misc]simplify:  iters left: 1 (148 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 320 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (145 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 321 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 322 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 323 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 324 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) 1) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 325 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 326 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 327 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 328 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 329 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 330 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 331 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (cbrt (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (cbrt (sqrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (cbrt (sqrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 332 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 333 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 334 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 335 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 336 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) 1) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha)))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 337 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 338 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ beta alpha) (+ 2 1.0)))) (fabs (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ beta alpha) (+ 2 1.0)))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ beta alpha) (+ 2 1.0)))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 339 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 340 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 341 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 342 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 343 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (+ (+ beta alpha) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (fabs (cbrt (+ (+ beta alpha) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (fabs (cbrt (+ (+ beta alpha) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 344 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (+ (+ beta alpha) (+ 2 1.0))))) (fabs (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (fabs (cbrt (+ (+ beta alpha) (+ 2 1.0))))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (fabs (cbrt (+ (+ beta alpha) (+ 2 1.0))))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 345 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 346 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 347 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 348 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 349 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 350 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (fabs (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (fabs (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 351 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 352 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 353 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 354 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 355 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 356 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (cbrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 357 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) 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 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 358 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 359 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) 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 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 360 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 361 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 362 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (cbrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 363 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) 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 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 364 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 365 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) 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 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 366 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 367 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 368 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (fabs (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (fabs (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 369 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 370 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 371 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 372 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 373 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) 1) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) 1) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 374 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) 1) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) 1) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (cbrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 375 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) 1) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) 1) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 376 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) 1) (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) 1) (sqrt 1))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 377 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) 1) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) 1) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 378 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) 1) 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) 1) 1)
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 379 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 380 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ beta alpha) (+ 2 1.0)))) (fabs (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ beta alpha) (+ 2 1.0)))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ beta alpha) (+ 2 1.0)))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 381 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 382 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 383 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 384 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 385 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (+ (+ beta alpha) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (fabs (cbrt (+ (+ beta alpha) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (fabs (cbrt (+ (+ beta alpha) (+ 2 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 386 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (+ (+ beta alpha) (+ 2 1.0))))) (fabs (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (fabs (cbrt (+ (+ beta alpha) (+ 2 1.0))))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (fabs (cbrt (+ (+ beta alpha) (+ 2 1.0))))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 387 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 388 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 389 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 390 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 391 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 392 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (fabs (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (fabs (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 393 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 394 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 395 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 396 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 397 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 398 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (cbrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 399 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) 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 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 400 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 401 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) 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 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 402 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 403 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 404 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (cbrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 405 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) 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 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 406 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 407 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) 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 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 408 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt 1)) 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 409 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 410 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (fabs (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (fabs (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 411 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 412 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 413 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 414 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 415 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) 1) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) 1) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 416 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) 1) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) 1) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (cbrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 417 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) 1) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) 1) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 418 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) 1) (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) 1) (sqrt 1))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 419 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) 1) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) 1) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 420 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt 1) 1) 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) 1) 1)
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 421 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (237 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (* (* (cbrt (sqrt (+ 2 (+ alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (* (cbrt (sqrt (+ 2 (+ alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (* (* (cbrt (sqrt (+ 2 (+ alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (* (cbrt (sqrt (+ 2 (+ alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 422 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (fabs (cbrt (+ 2 (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (fabs (cbrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (fabs (cbrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 423 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (137 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (201 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 424 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (202 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 425 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (137 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (201 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 426 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) 1) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (196 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 427 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ 1.0 2) (+ alpha beta))))) (* (cbrt (sqrt (+ 2 (+ alpha beta)))) (cbrt (sqrt (+ 2 (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ 1.0 2) (+ alpha beta))))) (* (cbrt (sqrt (+ 2 (+ alpha beta)))) (cbrt (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ 1.0 2) (+ alpha beta))))) (* (cbrt (sqrt (+ 2 (+ alpha beta)))) (cbrt (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 428 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (201 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (* (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2)))) (fabs (cbrt (+ 2 (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (* (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2)))) (fabs (cbrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (* (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2)))) (fabs (cbrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 429 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 430 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (190 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ (+ 1.0 2) (+ alpha beta))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ (+ 1.0 2) (+ alpha beta))))) (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 431 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 432 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) 1) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 433 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 434 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 435 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 436 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 437 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 438 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 439 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (135 enodes)
* * [misc]simplify:  iters left: 1 (148 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 440 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (145 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 441 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 442 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 443 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 444 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) 1) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 445 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (135 enodes)
* * [misc]simplify:  iters left: 1 (148 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 446 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (145 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 447 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 448 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 449 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 450 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) 1) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 451 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 452 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 453 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 454 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 455 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta))))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 456 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 457 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (cbrt (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (cbrt (sqrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (cbrt (sqrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 458 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 459 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 460 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 461 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 462 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) 1) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha)))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (sqrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha)))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (sqrt (+ (+ 1.0 2) (+ alpha beta))) (sqrt (+ alpha (+ beta 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 463 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (* (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (cbrt (sqrt (+ (+ 2 beta) alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (* (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 464 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (fabs (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 465 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 466 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 467 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 468 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 469 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 470 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (+ (+ alpha 2) (+ 1.0 beta))))) (fabs (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (fabs (cbrt (+ (+ alpha 2) (+ 1.0 beta))))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (fabs (cbrt (+ (+ alpha 2) (+ 1.0 beta))))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 471 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 472 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 473 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 474 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 475 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 476 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (fabs (cbrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (fabs (cbrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 477 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 478 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 479 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 480 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 481 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 482 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (cbrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 483 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 484 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 485 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 486 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt 1)) 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) 1)
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 487 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 488 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (cbrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 489 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 490 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 491 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 492 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt 1)) 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) 1)
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 493 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (cbrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 494 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (fabs (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (fabs (cbrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (fabs (cbrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (cbrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 495 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 496 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 497 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (sqrt (sqrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 498 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (+ beta (+ alpha 2)))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 499 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 1) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ 2 alpha) beta))) (cbrt (sqrt (+ (+ 2 alpha) beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ 2 alpha) beta))) (cbrt (sqrt (+ (+ 2 alpha) beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ 2 alpha) beta))) (cbrt (sqrt (+ (+ 2 alpha) beta))))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 500 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 1) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (cbrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 501 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 1) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 502 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 1) (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt 1))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 503 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 1) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 504 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ 1 1) 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) 1)
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 505 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ 2 alpha) beta))) (cbrt (sqrt (+ (+ 2 alpha) beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ 2 alpha) beta))) (cbrt (sqrt (+ (+ 2 alpha) beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 506 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ 1 (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (cbrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 507 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 508 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ 1 (sqrt 1)) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 509 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 510 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ 1 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 511 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ 1 (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (/ 1 (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (cbrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ 1 (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 512 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (/ 1 (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (fabs (cbrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (fabs (cbrt (+ 2 (+ alpha beta))))) (/ (/ 1 (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (sqrt (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (fabs (cbrt (+ 2 (+ alpha beta))))) (/ (/ 1 (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (sqrt (cbrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 513 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ 1 (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (/ 1 (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ 1 (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 514 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt 1)) (/ (/ 1 (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (fma beta alpha 1.0) (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))) (/ (/ 1 (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))) (/ 1 (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 515 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ 1 (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (/ 1 (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ 1 (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 516 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) 1) (/ (/ 1 (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (/ (/ 1 (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (/ 1 (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 517 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (276 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (fma (- 1.0 beta) 1.0 (* beta beta)) (fma alpha (* alpha alpha) 8) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma 2 (- 2 alpha) (* alpha alpha)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (fma (- 1.0 beta) 1.0 (* beta beta)) (fma alpha (* alpha alpha) 8) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma 2 (- 2 alpha) (* alpha alpha)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (133 enodes)
* * [misc]simplify:  iters left: 3 (460 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (fma alpha -2 (fma alpha alpha 4)))) (cbrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (fma (- 1.0 beta) 1.0 (* beta beta)) (fma alpha (* alpha alpha) 8) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma 2 (- 2 alpha) (* alpha alpha)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (fma alpha -2 (fma alpha alpha 4)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 518 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (97 enodes)
* * [misc]simplify:  iters left: 4 (272 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (fabs (cbrt (+ (+ beta 2) alpha)))) (sqrt (fma (fma 1.0 (- 1.0 beta) (* beta beta)) (fma alpha (* alpha alpha) 8) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma 2 (- 2 alpha) (* alpha alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (fabs (cbrt (+ (+ beta 2) alpha)))) (sqrt (fma (fma 1.0 (- 1.0 beta) (* beta beta)) (fma alpha (* alpha alpha) 8) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma 2 (- 2 alpha) (* alpha alpha)))))) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (133 enodes)
* * [misc]simplify:  iters left: 3 (460 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (fma alpha -2 (fma alpha alpha 4)))) (sqrt (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (fabs (cbrt (+ (+ beta 2) alpha)))) (sqrt (fma (fma 1.0 (- 1.0 beta) (* beta beta)) (fma alpha (* alpha alpha) 8) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma 2 (- 2 alpha) (* alpha alpha)))))) (/ (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (fma alpha -2 (fma alpha alpha 4)))) (sqrt (cbrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 519 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* * [misc]simplify:  iters left: 4 (270 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (sqrt (fma (fma (- 1.0 beta) 1.0 (* beta beta)) (fma alpha (* alpha alpha) 8) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma (- 2 alpha) 2 (* alpha alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (sqrt (fma (fma (- 1.0 beta) 1.0 (* beta beta)) (fma alpha (* alpha alpha) 8) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma (- 2 alpha) 2 (* alpha alpha)))))) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (133 enodes)
* * [misc]simplify:  iters left: 3 (460 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (fma alpha -2 (fma alpha alpha 4)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (sqrt (fma (fma (- 1.0 beta) 1.0 (* beta beta)) (fma alpha (* alpha alpha) 8) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma (- 2 alpha) 2 (* alpha alpha)))))) (/ (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (fma alpha -2 (fma alpha alpha 4)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 520 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3)))))) (sqrt 1)) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (91 enodes)
* * [misc]simplify:  iters left: 4 (259 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (fma (- 1.0 beta) 1.0 (* beta beta)) (fma alpha (* alpha alpha) 8) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma (- 2 alpha) 2 (* alpha alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (fma (- 1.0 beta) 1.0 (* beta beta)) (fma alpha (* alpha alpha) 8) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma (- 2 alpha) 2 (* alpha alpha)))))) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (132 enodes)
* * [misc]simplify:  iters left: 3 (459 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (fma -2 alpha (fma alpha alpha 4)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (fma (- 1.0 beta) 1.0 (* beta beta)) (fma alpha (* alpha alpha) 8) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma (- 2 alpha) 2 (* alpha alpha)))))) (/ (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (fma -2 alpha (fma alpha alpha 4)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 521 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* * [misc]simplify:  iters left: 4 (270 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (sqrt (fma (fma (- 1.0 beta) 1.0 (* beta beta)) (fma alpha (* alpha alpha) 8) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma (- 2 alpha) 2 (* alpha alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (sqrt (fma (fma (- 1.0 beta) 1.0 (* beta beta)) (fma alpha (* alpha alpha) 8) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma (- 2 alpha) 2 (* alpha alpha)))))) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (133 enodes)
* * [misc]simplify:  iters left: 3 (460 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (fma alpha -2 (fma alpha alpha 4)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (sqrt (fma (fma (- 1.0 beta) 1.0 (* beta beta)) (fma alpha (* alpha alpha) 8) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma (- 2 alpha) 2 (* alpha alpha)))))) (/ (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (fma alpha -2 (fma alpha alpha 4)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 522 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3)))))) 1) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3)))))) 1)
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (90 enodes)
* * [misc]simplify:  iters left: 4 (258 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (fma 1.0 (- 1.0 beta) (* beta beta)) (fma alpha (* alpha alpha) 8) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma 2 (- 2 alpha) (* alpha alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (fma 1.0 (- 1.0 beta) (* beta beta)) (fma alpha (* alpha alpha) 8) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma 2 (- 2 alpha) (* alpha alpha)))))) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (132 enodes)
* * [misc]simplify:  iters left: 3 (459 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (fma -2 alpha (fma alpha alpha 4)))) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (fma 1.0 (- 1.0 beta) (* beta beta)) (fma alpha (* alpha alpha) 8) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma 2 (- 2 alpha) (* alpha alpha)))))) (/ (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (fma -2 alpha (fma alpha alpha 4)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 523 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (fma 2 (- 2 alpha) (* alpha alpha)) (- (* beta beta) (* 1.0 1.0)) (* (fma alpha (* alpha alpha) 8) (- beta 1.0))))) (* (cbrt (sqrt (+ alpha (+ beta 2)))) (cbrt (sqrt (+ alpha (+ beta 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (fma 2 (- 2 alpha) (* alpha alpha)) (- (* beta beta) (* 1.0 1.0)) (* (fma alpha (* alpha alpha) 8) (- beta 1.0))))) (* (cbrt (sqrt (+ alpha (+ beta 2)))) (cbrt (sqrt (+ alpha (+ beta 2)))))) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (- beta 1.0) (fma alpha -2 (fma alpha alpha 4)))) (cbrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (fma 2 (- 2 alpha) (* alpha alpha)) (- (* beta beta) (* 1.0 1.0)) (* (fma alpha (* alpha alpha) 8) (- beta 1.0))))) (* (cbrt (sqrt (+ alpha (+ beta 2)))) (cbrt (sqrt (+ alpha (+ beta 2)))))) (/ (sqrt (* (- beta 1.0) (fma alpha -2 (fma alpha alpha 4)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 524 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (163 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (fabs (cbrt (+ alpha (+ beta 2))))) (sqrt (fma (fma 2 (- 2 alpha) (* alpha alpha)) (- (* beta beta) (* 1.0 1.0)) (* (fma (* alpha alpha) alpha 8) (- beta 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (fabs (cbrt (+ alpha (+ beta 2))))) (sqrt (fma (fma 2 (- 2 alpha) (* alpha alpha)) (- (* beta beta) (* 1.0 1.0)) (* (fma (* alpha alpha) alpha 8) (- beta 1.0))))) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (- beta 1.0) (fma alpha -2 (fma alpha alpha 4)))) (sqrt (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (fabs (cbrt (+ alpha (+ beta 2))))) (sqrt (fma (fma 2 (- 2 alpha) (* alpha alpha)) (- (* beta beta) (* 1.0 1.0)) (* (fma (* alpha alpha) alpha 8) (- beta 1.0))))) (/ (sqrt (* (- beta 1.0) (fma alpha -2 (fma alpha alpha 4)))) (sqrt (cbrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 525 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (70 enodes)
* * [misc]simplify:  iters left: 4 (161 enodes)
* * [misc]simplify:  iters left: 3 (499 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (* (- beta 1.0) (fma (+ 1.0 beta) (fma -2 alpha (fma alpha alpha 4)) (fma (* alpha alpha) alpha 8)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (* (- beta 1.0) (fma (+ 1.0 beta) (fma -2 alpha (fma alpha alpha 4)) (fma (* alpha alpha) alpha 8))))) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (- beta 1.0) (fma alpha -2 (fma alpha alpha 4)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (* (- beta 1.0) (fma (+ 1.0 beta) (fma -2 alpha (fma alpha alpha 4)) (fma (* alpha alpha) alpha 8))))) (/ (sqrt (* (- beta 1.0) (fma alpha -2 (fma alpha alpha 4)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 526 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0)))))) (sqrt 1)) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (491 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (* (- beta 1.0) (fma (+ 1.0 beta) (fma alpha alpha (fma -2 alpha 4)) (fma alpha (* alpha alpha) 8)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (* (- beta 1.0) (fma (+ 1.0 beta) (fma alpha alpha (fma -2 alpha 4)) (fma alpha (* alpha alpha) 8))))) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (- beta 1.0) (fma alpha -2 (fma alpha alpha 4)))) (sqrt (+ 2 (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (* (- beta 1.0) (fma (+ 1.0 beta) (fma alpha alpha (fma -2 alpha 4)) (fma alpha (* alpha alpha) 8))))) (/ (sqrt (* (- beta 1.0) (fma alpha -2 (fma alpha alpha 4)))) (sqrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 527 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (70 enodes)
* * [misc]simplify:  iters left: 4 (161 enodes)
* * [misc]simplify:  iters left: 3 (499 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (* (- beta 1.0) (fma (+ 1.0 beta) (fma -2 alpha (fma alpha alpha 4)) (fma (* alpha alpha) alpha 8)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (* (- beta 1.0) (fma (+ 1.0 beta) (fma -2 alpha (fma alpha alpha 4)) (fma (* alpha alpha) alpha 8))))) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (- beta 1.0) (fma alpha -2 (fma alpha alpha 4)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (* (- beta 1.0) (fma (+ 1.0 beta) (fma -2 alpha (fma alpha alpha 4)) (fma (* alpha alpha) alpha 8))))) (/ (sqrt (* (- beta 1.0) (fma alpha -2 (fma alpha alpha 4)))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 528 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0)))))) 1) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0)))))) 1)
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (65 enodes)
* * [misc]simplify:  iters left: 4 (149 enodes)
* * [misc]simplify:  iters left: 3 (490 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (* (- beta 1.0) (fma (+ 1.0 beta) (fma alpha -2 (fma alpha alpha 4)) (fma (* alpha alpha) alpha 8)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (* (- beta 1.0) (fma (+ 1.0 beta) (fma alpha -2 (fma alpha alpha 4)) (fma (* alpha alpha) alpha 8))))) (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (- beta 1.0) (fma alpha -2 (fma alpha alpha 4)))) (sqrt (+ 2 (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (* (- beta 1.0) (fma (+ 1.0 beta) (fma alpha -2 (fma alpha alpha 4)) (fma (* alpha alpha) alpha 8))))) (/ (sqrt (* (- beta 1.0) (fma alpha -2 (fma alpha alpha 4)))) (sqrt (+ 2 (+ alpha beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 529 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (86 enodes)
* * [misc]simplify:  iters left: 4 (250 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (* (cbrt (sqrt (+ alpha (+ beta 2)))) (cbrt (sqrt (+ alpha (+ beta 2)))))) (sqrt (fma (+ -2 alpha) (fma (* 1.0 1.0) 1.0 (pow beta 3)) (* (fma alpha alpha -4) (fma 1.0 (- 1.0 beta) (* beta beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (* (cbrt (sqrt (+ alpha (+ beta 2)))) (cbrt (sqrt (+ alpha (+ beta 2)))))) (sqrt (fma (+ -2 alpha) (fma (* 1.0 1.0) 1.0 (pow beta 3)) (* (fma alpha alpha -4) (fma 1.0 (- 1.0 beta) (* beta beta)))))) (/ (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (298 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (+ alpha -2) (fma 1.0 (- 1.0 beta) (* beta beta)))) (cbrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (* (cbrt (sqrt (+ alpha (+ beta 2)))) (cbrt (sqrt (+ alpha (+ beta 2)))))) (sqrt (fma (+ -2 alpha) (fma (* 1.0 1.0) 1.0 (pow beta 3)) (* (fma alpha alpha -4) (fma 1.0 (- 1.0 beta) (* beta beta)))))) (/ (sqrt (* (+ alpha -2) (fma 1.0 (- 1.0 beta) (* beta beta)))) (cbrt (sqrt (+ beta (+ 2 alpha)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 530 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (246 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (fabs (cbrt (+ alpha (+ beta 2))))) (sqrt (fma (+ alpha -2) (fma (* 1.0 1.0) 1.0 (pow beta 3)) (* (fma alpha alpha -4) (fma 1.0 (- 1.0 beta) (* beta beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (fabs (cbrt (+ alpha (+ beta 2))))) (sqrt (fma (+ alpha -2) (fma (* 1.0 1.0) 1.0 (pow beta 3)) (* (fma alpha alpha -4) (fma 1.0 (- 1.0 beta) (* beta beta)))))) (/ (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (298 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (+ alpha -2) (fma 1.0 (- 1.0 beta) (* beta beta)))) (sqrt (cbrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (fabs (cbrt (+ alpha (+ beta 2))))) (sqrt (fma (+ alpha -2) (fma (* 1.0 1.0) 1.0 (pow beta 3)) (* (fma alpha alpha -4) (fma 1.0 (- 1.0 beta) (* beta beta)))))) (/ (sqrt (* (+ alpha -2) (fma 1.0 (- 1.0 beta) (* beta beta)))) (sqrt (cbrt (+ beta (+ 2 alpha)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 531 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (244 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (fma (+ alpha -2) (fma (* 1.0 1.0) 1.0 (pow beta 3)) (* (fma alpha alpha -4) (fma (- 1.0 beta) 1.0 (* beta beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (fma (+ alpha -2) (fma (* 1.0 1.0) 1.0 (pow beta 3)) (* (fma alpha alpha -4) (fma (- 1.0 beta) 1.0 (* beta beta)))))) (/ (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (298 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (+ alpha -2) (fma 1.0 (- 1.0 beta) (* beta beta)))) (sqrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (fma (+ alpha -2) (fma (* 1.0 1.0) 1.0 (pow beta 3)) (* (fma alpha alpha -4) (fma (- 1.0 beta) 1.0 (* beta beta)))))) (/ (sqrt (* (+ alpha -2) (fma 1.0 (- 1.0 beta) (* beta beta)))) (sqrt (sqrt (+ beta (+ 2 alpha)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 532 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3)))))) (sqrt 1)) (/ (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (79 enodes)
* * [misc]simplify:  iters left: 4 (235 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (+ alpha -2) (fma (* 1.0 1.0) 1.0 (pow beta 3)) (* (fma alpha alpha -4) (fma (- 1.0 beta) 1.0 (* beta beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (+ alpha -2) (fma (* 1.0 1.0) 1.0 (pow beta 3)) (* (fma alpha alpha -4) (fma (- 1.0 beta) 1.0 (* beta beta)))))) (/ (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (299 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (- alpha 2) (fma 1.0 (- 1.0 beta) (* beta beta)))) (sqrt (+ (+ 2 alpha) beta)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (+ alpha -2) (fma (* 1.0 1.0) 1.0 (pow beta 3)) (* (fma alpha alpha -4) (fma (- 1.0 beta) 1.0 (* beta beta)))))) (/ (sqrt (* (- alpha 2) (fma 1.0 (- 1.0 beta) (* beta beta)))) (sqrt (+ (+ 2 alpha) beta)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 533 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (83 enodes)
* * [misc]simplify:  iters left: 4 (244 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (fma (+ alpha -2) (fma (* 1.0 1.0) 1.0 (pow beta 3)) (* (fma alpha alpha -4) (fma (- 1.0 beta) 1.0 (* beta beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (fma (+ alpha -2) (fma (* 1.0 1.0) 1.0 (pow beta 3)) (* (fma alpha alpha -4) (fma (- 1.0 beta) 1.0 (* beta beta)))))) (/ (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (298 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (+ alpha -2) (fma 1.0 (- 1.0 beta) (* beta beta)))) (sqrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (fma (+ alpha -2) (fma (* 1.0 1.0) 1.0 (pow beta 3)) (* (fma alpha alpha -4) (fma (- 1.0 beta) 1.0 (* beta beta)))))) (/ (sqrt (* (+ alpha -2) (fma 1.0 (- 1.0 beta) (* beta beta)))) (sqrt (sqrt (+ beta (+ 2 alpha)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 534 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3)))))) 1) (/ (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3)))))) 1)
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (234 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (+ -2 alpha) (fma (* 1.0 1.0) 1.0 (pow beta 3)) (* (fma alpha alpha -4) (fma 1.0 (- 1.0 beta) (* beta beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (+ -2 alpha) (fma (* 1.0 1.0) 1.0 (pow beta 3)) (* (fma alpha alpha -4) (fma 1.0 (- 1.0 beta) (* beta beta)))))) (/ (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (299 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (- alpha 2) (fma 1.0 (- 1.0 beta) (* beta beta)))) (sqrt (+ (+ 2 alpha) beta)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (+ -2 alpha) (fma (* 1.0 1.0) 1.0 (pow beta 3)) (* (fma alpha alpha -4) (fma 1.0 (- 1.0 beta) (* beta beta)))))) (/ (sqrt (* (- alpha 2) (fma 1.0 (- 1.0 beta) (* beta beta)))) (sqrt (+ (+ 2 alpha) beta)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 535 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (sqrt (* (- alpha 2) (- beta 1.0))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0)))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (145 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (+ -2 alpha) (* (- beta 1.0) (+ 1.0 beta)) (* (fma alpha alpha -4) (- beta 1.0))))) (* (cbrt (sqrt (+ alpha (+ beta 2)))) (cbrt (sqrt (+ alpha (+ beta 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (+ -2 alpha) (* (- beta 1.0) (+ 1.0 beta)) (* (fma alpha alpha -4) (- beta 1.0))))) (* (cbrt (sqrt (+ alpha (+ beta 2)))) (cbrt (sqrt (+ alpha (+ beta 2)))))) (/ (sqrt (* (- alpha 2) (- beta 1.0))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (- alpha 2) (- beta 1.0))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (314 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (+ -2 alpha) (- beta 1.0))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (+ -2 alpha) (* (- beta 1.0) (+ 1.0 beta)) (* (fma alpha alpha -4) (- beta 1.0))))) (* (cbrt (sqrt (+ alpha (+ beta 2)))) (cbrt (sqrt (+ alpha (+ beta 2)))))) (/ (sqrt (* (+ -2 alpha) (- beta 1.0))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 536 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (sqrt (* (- alpha 2) (- beta 1.0))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0)))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (141 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (fabs (cbrt (+ alpha (+ beta 2))))) (sqrt (fma (+ -2 alpha) (* (- beta 1.0) (+ 1.0 beta)) (* (fma alpha alpha -4) (- beta 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (fabs (cbrt (+ alpha (+ beta 2))))) (sqrt (fma (+ -2 alpha) (* (- beta 1.0) (+ 1.0 beta)) (* (fma alpha alpha -4) (- beta 1.0))))) (/ (sqrt (* (- alpha 2) (- beta 1.0))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (- alpha 2) (- beta 1.0))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (314 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (+ -2 alpha) (- beta 1.0))) (sqrt (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (fabs (cbrt (+ alpha (+ beta 2))))) (sqrt (fma (+ -2 alpha) (* (- beta 1.0) (+ 1.0 beta)) (* (fma alpha alpha -4) (- beta 1.0))))) (/ (sqrt (* (+ -2 alpha) (- beta 1.0))) (sqrt (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 537 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (- alpha 2) (- beta 1.0))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (139 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (+ alpha -2) (* (- beta 1.0) (+ 1.0 beta)) (* (fma alpha alpha -4) (- beta 1.0))))) (sqrt (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (+ alpha -2) (* (- beta 1.0) (+ 1.0 beta)) (* (fma alpha alpha -4) (- beta 1.0))))) (sqrt (sqrt (+ alpha (+ beta 2))))) (/ (sqrt (* (- alpha 2) (- beta 1.0))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (- alpha 2) (- beta 1.0))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (314 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (+ -2 alpha) (- beta 1.0))) (sqrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (+ alpha -2) (* (- beta 1.0) (+ 1.0 beta)) (* (fma alpha alpha -4) (- beta 1.0))))) (sqrt (sqrt (+ alpha (+ beta 2))))) (/ (sqrt (* (+ -2 alpha) (- beta 1.0))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 538 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0)))))) (sqrt 1)) (/ (sqrt (* (- alpha 2) (- beta 1.0))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (130 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (- alpha 2) (* (- beta 1.0) (+ 1.0 beta)) (* (fma alpha alpha -4) (- beta 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (- alpha 2) (* (- beta 1.0) (+ 1.0 beta)) (* (fma alpha alpha -4) (- beta 1.0))))) (/ (sqrt (* (- alpha 2) (- beta 1.0))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (- alpha 2) (- beta 1.0))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* * [misc]simplify:  iters left: 1 (391 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (+ alpha -2) (- beta 1.0))) (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (- alpha 2) (* (- beta 1.0) (+ 1.0 beta)) (* (fma alpha alpha -4) (- beta 1.0))))) (/ (sqrt (* (+ alpha -2) (- beta 1.0))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 539 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (- alpha 2) (- beta 1.0))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0)))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (139 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (+ alpha -2) (* (- beta 1.0) (+ 1.0 beta)) (* (fma alpha alpha -4) (- beta 1.0))))) (sqrt (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (+ alpha -2) (* (- beta 1.0) (+ 1.0 beta)) (* (fma alpha alpha -4) (- beta 1.0))))) (sqrt (sqrt (+ alpha (+ beta 2))))) (/ (sqrt (* (- alpha 2) (- beta 1.0))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (- alpha 2) (- beta 1.0))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (314 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (+ -2 alpha) (- beta 1.0))) (sqrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (+ alpha -2) (* (- beta 1.0) (+ 1.0 beta)) (* (fma alpha alpha -4) (- beta 1.0))))) (sqrt (sqrt (+ alpha (+ beta 2))))) (/ (sqrt (* (+ -2 alpha) (- beta 1.0))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 540 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0)))))) 1) (/ (sqrt (* (- alpha 2) (- beta 1.0))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0)))))) 1)
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (- alpha 2) (* (- beta 1.0) (+ 1.0 beta)) (* (fma alpha alpha -4) (- beta 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (- alpha 2) (* (- beta 1.0) (+ 1.0 beta)) (* (fma alpha alpha -4) (- beta 1.0))))) (/ (sqrt (* (- alpha 2) (- beta 1.0))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (- alpha 2) (- beta 1.0))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* * [misc]simplify:  iters left: 1 (391 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (+ alpha -2) (- beta 1.0))) (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (- alpha 2) (* (- beta 1.0) (+ 1.0 beta)) (* (fma alpha alpha -4) (- beta 1.0))))) (/ (sqrt (* (+ alpha -2) (- beta 1.0))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 541 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (302 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (fma (* (+ alpha 2) (+ alpha 2)) (+ alpha 2) (pow (+ 1.0 beta) 3)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (fma (* (+ alpha 2) (+ alpha 2)) (+ alpha 2) (pow (+ 1.0 beta) 3)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (180 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ 1.0 beta) (- (+ 1.0 beta) (+ 2 alpha)) (* (+ 2 alpha) (+ 2 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (sqrt (fma (+ 1.0 beta) (- (+ 1.0 beta) (+ 2 alpha)) (* (+ 2 alpha) (+ 2 alpha)))) (cbrt (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 542 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (293 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (fma (* (+ alpha 2) (+ alpha 2)) (+ alpha 2) (pow (+ 1.0 beta) 3)))) (fabs (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (fma (* (+ alpha 2) (+ alpha 2)) (+ alpha 2) (pow (+ 1.0 beta) 3)))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (180 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ 1.0 beta) (- (+ 1.0 beta) (+ 2 alpha)) (* (+ 2 alpha) (+ 2 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (fma (* (+ alpha 2) (+ alpha 2)) (+ alpha 2) (pow (+ 1.0 beta) 3)))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (sqrt (fma (+ 1.0 beta) (- (+ 1.0 beta) (+ 2 alpha)) (* (+ 2 alpha) (+ 2 alpha)))) (sqrt (cbrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 543 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (290 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (fma (* (+ 1.0 beta) (+ 1.0 beta)) (+ 1.0 beta) (pow (+ alpha 2) 3))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (fma (* (+ 1.0 beta) (+ 1.0 beta)) (+ 1.0 beta) (pow (+ alpha 2) 3)))) (/ (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (180 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ 1.0 beta) (- (+ 1.0 beta) (+ 2 alpha)) (* (+ 2 alpha) (+ 2 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (fma (+ 1.0 beta) (- (+ 1.0 beta) (+ 2 alpha)) (* (+ 2 alpha) (+ 2 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 544 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))) (sqrt 1)) (/ (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (286 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (fma (+ 1.0 beta) (* (+ 1.0 beta) (+ 1.0 beta)) (pow (+ alpha 2) 3))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (fma (+ 1.0 beta) (* (+ 1.0 beta) (+ 1.0 beta)) (pow (+ alpha 2) 3)))) (/ (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (179 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (- (+ 1.0 beta) (+ 2 alpha)) (+ 1.0 beta) (* (+ 2 alpha) (+ 2 alpha)))) (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))) (sqrt 1)) (/ (sqrt (fma (- (+ 1.0 beta) (+ 2 alpha)) (+ 1.0 beta) (* (+ 2 alpha) (+ 2 alpha)))) (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 545 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (290 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (fma (* (+ 1.0 beta) (+ 1.0 beta)) (+ 1.0 beta) (pow (+ alpha 2) 3))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (sqrt (+ beta (+ alpha 2))))) (sqrt (fma (* (+ 1.0 beta) (+ 1.0 beta)) (+ 1.0 beta) (pow (+ alpha 2) 3)))) (/ (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (180 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ 1.0 beta) (- (+ 1.0 beta) (+ 2 alpha)) (* (+ 2 alpha) (+ 2 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (fma (+ 1.0 beta) (- (+ 1.0 beta) (+ 2 alpha)) (* (+ 2 alpha) (+ 2 alpha)))) (sqrt (sqrt (+ 2 (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 546 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))) 1) (/ (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (284 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (fma (+ 1.0 beta) (* (+ 1.0 beta) (+ 1.0 beta)) (pow (+ alpha 2) 3))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (fma (+ 1.0 beta) (* (+ 1.0 beta) (+ 1.0 beta)) (pow (+ alpha 2) 3)))) (/ (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (179 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (- (+ 1.0 beta) (+ 2 alpha)) (+ 1.0 beta) (* (+ 2 alpha) (+ 2 alpha)))) (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))) 1) (/ (sqrt (fma (- (+ 1.0 beta) (+ 2 alpha)) (+ 1.0 beta) (* (+ 2 alpha) (+ 2 alpha)))) (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 547 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (sqrt (- (+ alpha 2) (+ beta 1.0))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (153 enodes)
* * [misc]simplify:  iters left: 3 (426 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ 1.0 beta) (+ 1.0 beta))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ 1.0 beta) (+ 1.0 beta))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (sqrt (- (+ alpha 2) (+ beta 1.0))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (+ alpha 2) (+ beta 1.0))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (240 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (- 2 beta) (- 1.0 alpha))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (sqrt (- (- 2 beta) (- 1.0 alpha))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 548 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (/ (sqrt (- (+ alpha 2) (+ beta 1.0))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (149 enodes)
* * [misc]simplify:  iters left: 3 (420 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (* (fabs (cbrt (+ beta (+ alpha 2)))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ 1.0 beta) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (* (fabs (cbrt (+ beta (+ alpha 2)))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ 1.0 beta) (+ 1.0 beta)))))) (/ (sqrt (- (+ alpha 2) (+ beta 1.0))) (sqrt (cbrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (+ alpha 2) (+ beta 1.0))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (240 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (- 2 beta) (- 1.0 alpha))) (sqrt (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (* (fabs (cbrt (+ beta (+ alpha 2)))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ 1.0 beta) (+ 1.0 beta)))))) (/ (sqrt (- (- 2 beta) (- 1.0 alpha))) (sqrt (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 549 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (- (+ alpha 2) (+ beta 1.0))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (147 enodes)
* * [misc]simplify:  iters left: 3 (426 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (* (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ 1.0 beta) (+ 1.0 beta)))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (* (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ 1.0 beta) (+ 1.0 beta)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (sqrt (- (+ alpha 2) (+ beta 1.0))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (+ alpha 2) (+ beta 1.0))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (240 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (- 2 beta) (- 1.0 alpha))) (sqrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (- (- 2 beta) (- 1.0 alpha))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 550 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))) (sqrt 1)) (/ (sqrt (- (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* * [misc]simplify:  iters left: 3 (417 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ 1.0 beta) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ 1.0 beta) (+ 1.0 beta))))) (/ (sqrt (- (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (155 enodes)
* * [misc]simplify:  iters left: 1 (237 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (- 2 1.0) (- alpha beta))) (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ 1.0 beta) (+ 1.0 beta))))) (/ (sqrt (+ (- 2 1.0) (- alpha beta))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 551 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (- (+ alpha 2) (+ beta 1.0))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (147 enodes)
* * [misc]simplify:  iters left: 3 (426 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (* (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ 1.0 beta) (+ 1.0 beta)))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (* (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ 1.0 beta) (+ 1.0 beta)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (sqrt (- (+ alpha 2) (+ beta 1.0))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (+ alpha 2) (+ beta 1.0))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (240 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- (- 2 beta) (- 1.0 alpha))) (sqrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (- (- 2 beta) (- 1.0 alpha))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 552 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))) 1) (/ (sqrt (- (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (137 enodes)
* * [misc]simplify:  iters left: 3 (411 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ 1.0 beta) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ 1.0 beta) (+ 1.0 beta))))) (/ (sqrt (- (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (155 enodes)
* * [misc]simplify:  iters left: 1 (237 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (- 2 1.0) (- alpha beta))) (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ 1.0 beta) (+ 1.0 beta))))) (/ (sqrt (+ (- 2 1.0) (- alpha beta))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 553 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 554 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ 1 (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 555 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 556 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 557 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (sqrt (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 558 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 559 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt 1)) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ alpha beta) 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt 1)) (sqrt (+ (+ alpha beta) 2))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 560 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 561 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) 1) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ alpha beta) 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (/ (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) 1) (sqrt (+ (+ alpha beta) 2))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 562 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (cbrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (* (cbrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (cbrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (sqrt (+ (+ beta 2) alpha)) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 563 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (sqrt (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 564 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (202 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 565 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (119 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (fabs (cbrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ (* (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (fabs (cbrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 566 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (119 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 567 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 568 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 569 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (119 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 570 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (* (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 571 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 572 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 573 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 574 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (fma beta alpha 1.0) (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (fabs (cbrt (+ (fma beta alpha 1.0) (+ beta alpha)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 575 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (fma beta alpha 1.0) (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (fabs (cbrt (+ (fma beta alpha 1.0) (+ beta alpha)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 576 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 577 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 578 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 579 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (180 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 580 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 581 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 582 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 583 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 584 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 585 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ 1 (* (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 586 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ 1 (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 587 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 588 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 589 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 590 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 591 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt 1) 1) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) 1)
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 592 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ 1 (* (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 593 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ 1 (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 594 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 595 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 596 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 597 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 598 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt 1) 1) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) 1)
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 599 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (* (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 600 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (180 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 601 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 602 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 603 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 604 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 605 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 606 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))) (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 607 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ 1 (fabs (cbrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 608 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 609 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 610 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 611 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 612 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 1) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 613 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 614 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (98 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 615 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3)))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (250 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (fma (- 1.0 beta) 1.0 (* beta beta)) (fma (* alpha alpha) alpha 8) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma (- 2 alpha) 2 (* alpha alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (fma (- 1.0 beta) 1.0 (* beta beta)) (fma (* alpha alpha) alpha 8) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma (- 2 alpha) 2 (* alpha alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 616 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (141 enodes)
* * [misc]simplify:  iters left: 3 (480 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (* (- beta 1.0) (fma (+ 1.0 beta) (fma alpha -2 (fma alpha alpha 4)) (fma alpha (* alpha alpha) 8)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (* (- beta 1.0) (fma (+ 1.0 beta) (fma alpha -2 (fma alpha alpha 4)) (fma alpha (* alpha alpha) 8))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 617 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3)))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (226 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (- alpha 2) (fma (* 1.0 1.0) 1.0 (pow beta 3)) (* (fma alpha alpha -4) (fma 1.0 (- 1.0 beta) (* beta beta))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (sqrt (fma (- alpha 2) (fma (* 1.0 1.0) 1.0 (pow beta 3)) (* (fma alpha alpha -4) (fma 1.0 (- 1.0 beta) (* beta beta)))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 618 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (* (- alpha 2) (- beta 1.0))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* * [misc]simplify:  iters left: 3 (496 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (* (fma (+ alpha -2) (+ 1.0 beta) (fma alpha alpha -4)) (- beta 1.0))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (* (fma (+ alpha -2) (+ 1.0 beta) (fma alpha alpha -4)) (- beta 1.0)))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (* (- alpha 2) (- beta 1.0))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 619 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (274 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (fma (* (+ alpha 2) (+ alpha 2)) (+ alpha 2) (pow (+ 1.0 beta) 3))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))) (sqrt (fma (* (+ alpha 2) (+ alpha 2)) (+ alpha 2) (pow (+ 1.0 beta) 3)))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 620 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (- (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (129 enodes)
* * [misc]simplify:  iters left: 3 (408 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ 1.0 beta) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))) (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ 1.0 beta) (+ 1.0 beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (- (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 621 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (pow (+ beta 2) 3) (pow alpha 3)))) (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (252 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (+ 2 beta) (+ (- alpha) (+ 2 beta)) (* alpha alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (pow (+ beta 2) 3) (pow alpha 3)))) (sqrt (fma (+ 2 beta) (+ (- alpha) (+ 2 beta)) (* alpha alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 622 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (- (* (+ beta 2) (+ beta 2)) (* alpha alpha)))) (sqrt (- (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (- (+ beta 2) alpha))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (- beta alpha) 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (- (* (+ beta 2) (+ beta 2)) (* alpha alpha)))) (sqrt (+ (- beta alpha) 2))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 623 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (98 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 624 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (+ (sqrt 1.0) (+ (* 1/2 (* (sqrt 1.0) beta)) (* 1/2 (/ alpha (sqrt 1.0))))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (+ (sqrt 1.0) (+ (* 1/2 (* (sqrt 1.0) beta)) (* 1/2 (/ alpha (sqrt 1.0)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (fma (/ 1/2 (sqrt 1.0)) alpha (fma (sqrt 1.0) (* 1/2 beta) (sqrt 1.0)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (* (/ (/ (fma (/ 1/2 (sqrt 1.0)) alpha (fma (sqrt 1.0) (* 1/2 beta) (sqrt 1.0))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 625 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha)))))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (* (/ (/ +nan.0 (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 626 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha)))))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (* (/ (/ +nan.0 (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 627 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (+ (sqrt 1.0) (+ (* 1/2 (/ beta (sqrt 1.0))) (* 1/2 (* (sqrt 1.0) alpha)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (+ (sqrt 1.0) (+ (* 1/2 (/ beta (sqrt 1.0))) (* 1/2 (* (sqrt 1.0) alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (fma (/ beta (sqrt 1.0)) 1/2 (fma (* alpha 1/2) (sqrt 1.0) (sqrt 1.0)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (fma (/ beta (sqrt 1.0)) 1/2 (fma (* alpha 1/2) (sqrt 1.0) (sqrt 1.0))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 628 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (/ beta alpha)) (- +nan.0))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (/ beta alpha)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ +nan.0 (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 629 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (/ beta alpha)) (- +nan.0))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (/ beta alpha)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ +nan.0 (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 630 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (- (+ (* 1/2 (* (sqrt 0.041666666666666664) alpha)) (sqrt 0.041666666666666664)) (+ (* 3/2 (* (sqrt 0.010416666666666666) alpha)) (+ (* 1/2 (* (sqrt 0.004629629629629629) alpha)) (* 0.01736111111111111 (/ beta (sqrt 0.041666666666666664))))))))>
* [enter]simplify:  Simplifying (- (+ (* 1/2 (* (sqrt 0.041666666666666664) alpha)) (sqrt 0.041666666666666664)) (+ (* 3/2 (* (sqrt 0.010416666666666666) alpha)) (+ (* 1/2 (* (sqrt 0.004629629629629629) alpha)) (* 0.01736111111111111 (/ beta (sqrt 0.041666666666666664))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (127 enodes)
* * [misc]simplify:  iters left: 3 (327 enodes)
* [exit]simplify:  Simplified to (- (- (fma (* alpha 1/2) (sqrt 0.041666666666666664) (sqrt 0.041666666666666664)) (* (sqrt 0.004629629629629629) (* alpha 1/2))) (fma (* (sqrt 0.010416666666666666) 3/2) alpha (/ (* 0.01736111111111111 beta) (sqrt 0.041666666666666664))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (- (- (fma (* alpha 1/2) (sqrt 0.041666666666666664) (sqrt 0.041666666666666664)) (* (sqrt 0.004629629629629629) (* alpha 1/2))) (fma (* (sqrt 0.010416666666666666) 3/2) alpha (/ (* 0.01736111111111111 beta) (sqrt 0.041666666666666664))))))
* * * * [misc]progress:  [ 631 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) 0))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) 0))
* * * * [misc]progress:  [ 632 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) 0))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) 0))
* * * * [misc]progress:  [ 633 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (- (+ (* 0.013888888888888881 (/ alpha (sqrt 0.16666666666666666))) (+ (sqrt 0.16666666666666666) (* 1/2 (* (sqrt 0.16666666666666666) beta)))) (+ (* 1/2 (* (sqrt 0.018518518518518517) beta)) (* 1/2 (* (sqrt 0.041666666666666664) beta)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (- (+ (* 0.013888888888888881 (/ alpha (sqrt 0.16666666666666666))) (+ (sqrt 0.16666666666666666) (* 1/2 (* (sqrt 0.16666666666666666) beta)))) (+ (* 1/2 (* (sqrt 0.018518518518518517) beta)) (* 1/2 (* (sqrt 0.041666666666666664) beta))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (136 enodes)
* * [misc]simplify:  iters left: 3 (380 enodes)
* [exit]simplify:  Simplified to (- (fma (/ alpha (sqrt 0.16666666666666666)) 0.013888888888888881 (fma (* beta 1/2) (sqrt 0.16666666666666666) (sqrt 0.16666666666666666))) (* (+ (sqrt 0.041666666666666664) (sqrt 0.018518518518518517)) (* beta 1/2)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (- (fma (/ alpha (sqrt 0.16666666666666666)) 0.013888888888888881 (fma (* beta 1/2) (sqrt 0.16666666666666666) (sqrt 0.16666666666666666))) (* (+ (sqrt 0.041666666666666664) (sqrt 0.018518518518518517)) (* beta 1/2))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 634 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* +nan.0 (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 635 / 635 ] simplifiying candidate #<alt (λ (alpha beta) (* (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* +nan.0 (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 2 2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 2 2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (fma beta alpha alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma beta alpha alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) alpha)
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ beta 1.0) 0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 1.0)) into (sqrt (+ beta 1.0))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ beta 1) into (+ beta 1)
* [misc]backup-simplify:  Simplify (+ 0 (+ beta 1)) into (+ beta 1)
* [misc]backup-simplify:  Simplify (/ (+ beta 1) (* 2 (sqrt (+ beta 1.0)))) into (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (fma beta alpha alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma beta alpha alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) alpha)
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ 1.0 alpha) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 1.0 alpha)) into (sqrt (+ 1.0 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ 1 alpha) into (+ 1 alpha)
* [misc]backup-simplify:  Simplify (/ (+ 1 alpha) (* 2 (sqrt (+ 1.0 alpha)))) into (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (fma beta alpha alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma beta alpha alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) alpha)
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ 1.0 alpha) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 1.0 alpha)) into (sqrt (+ 1.0 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ 1 alpha) into (+ 1 alpha)
* [misc]backup-simplify:  Simplify (/ (+ 1 alpha) (* 2 (sqrt (+ 1.0 alpha)))) into (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ 1.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (sqrt 1.0) into (sqrt 1.0)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (sqrt 1.0) into (sqrt 1.0)
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ 1.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 1.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (/ 1 1.0) into 1.0
* [misc]backup-simplify:  Simplify (sqrt 1.0) into (sqrt 1.0)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ 1 1.0)))) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ (- 1.0) (* 2 (sqrt 1.0))) into (/ -0.5 (sqrt 1.0))
* [misc]taylor:  Taking taylor expansion of (+ 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 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 (* (sqrt 1.0) 1) into (sqrt 1.0)
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 1.0)) into (* 1/2 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 1.0)) into (* 1/2 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (sqrt 1.0)) (* alpha 1)) (+ (* (* 1/2 (sqrt 1.0)) (* 1 beta)) (sqrt 1.0))) into (+ (sqrt 1.0) (+ (* 1/2 (* (sqrt 1.0) beta)) (* 1/2 (/ alpha (sqrt 1.0)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1.0) 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 1) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 beta) 1)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 alpha)) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 alpha)) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (/ 1 alpha) 1)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1.0 (/ 1 alpha)) into (+ (/ 1 alpha) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 alpha) 1.0) (pow (* +nan.0 (+ (/ 1 alpha) 1)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (- +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (* 0 (- +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* +nan.0 1) (* 0 1)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 alpha)) (/ 1 beta))) (* +nan.0 (* (/ 1 (/ 1 alpha)) 1)))) into (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 1.0) 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) 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 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) -1) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 beta) 1)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [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 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 alpha)) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [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 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 alpha)) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (/ 1 alpha) 1)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.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 (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ -1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (/ 1 alpha))) into (- 1.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (- 1.0 (/ 1 alpha)) (pow (* +nan.0 (- (/ 1 alpha) 1)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (- +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (* 0 (- +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* +nan.0 -1) (* 0 1)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 (- alpha))) (/ 1 (- beta)))) (* +nan.0 (* (/ 1 (/ 1 (- alpha))) 1)))) into (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 alpha) (fma beta alpha beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma beta alpha beta) in beta
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) beta)
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1.0 alpha) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 1.0 alpha) 0) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 1.0 alpha)) into (sqrt (+ 1.0 alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 1) into (+ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (+ 1 alpha)) into (+ 1 alpha)
* [misc]backup-simplify:  Simplify (/ (+ 1 alpha) (* 2 (sqrt (+ 1.0 alpha)))) into (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 alpha) (fma beta alpha beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma beta alpha beta) in alpha
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) 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]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ 1.0 beta) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 1.0)) into (sqrt (+ beta 1.0))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ 1 beta) into (+ beta 1)
* [misc]backup-simplify:  Simplify (/ (+ beta 1) (* 2 (sqrt (+ beta 1.0)))) into (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 alpha) (fma beta alpha beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma beta alpha beta) in alpha
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) 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]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ 1.0 beta) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 1.0)) into (sqrt (+ beta 1.0))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ 1 beta) into (+ beta 1)
* [misc]backup-simplify:  Simplify (/ (+ beta 1) (* 2 (sqrt (+ beta 1.0)))) into (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ beta 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (sqrt 1.0) into (sqrt 1.0)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (sqrt 1.0) into (sqrt 1.0)
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of 1/2 in beta
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (+ beta 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ beta 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (/ 1 1.0) into 1.0
* [misc]backup-simplify:  Simplify (sqrt 1.0) into (sqrt 1.0)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ 1 1.0)))) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ (- 1.0) (* 2 (sqrt 1.0))) into (/ -0.5 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0)
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 1.0)) into (* 1/2 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 1.0)) into (* 1/2 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 (sqrt 1.0)) (* beta 1)) (+ (* (* 1/2 (sqrt 1.0)) (* 1 alpha)) (sqrt 1.0))) into (+ (sqrt 1.0) (+ (* 1/2 (/ beta (sqrt 1.0))) (* 1/2 (* (sqrt 1.0) alpha))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 beta) (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 1) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 alpha) 1)) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 beta) (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) 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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 beta) (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) 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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (/ 1 beta) 1)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1) 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 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1.0 (/ 1 beta)) into (+ (/ 1 beta) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) 1.0) (pow (* +nan.0 (+ (/ 1 beta) 1)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 beta)) (- +nan.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (* 0 (- +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* +nan.0 1) (* 0 1)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 beta)) (/ 1 alpha))) (* +nan.0 (* (/ 1 (/ 1 beta)) 1)))) into (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (/ beta alpha)) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) 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 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- beta)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) -1) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 alpha) 1)) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- beta)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) 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]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- beta)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) 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]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (/ 1 beta) 1)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) 1) 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 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify +nan.0 into +nan.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 (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (/ 1 beta))) into (- 1.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (- (- 1.0 (/ 1 beta)) (pow (* +nan.0 (- (/ 1 beta) 1)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 beta)) (- +nan.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 1) into +nan.0
* [misc]backup-simplify:  Simplify (+ +nan.0 0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- +nan.0)) (* 0 (- +nan.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* +nan.0 -1) (* 0 1)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 (- beta))) (/ 1 (- alpha)))) (* +nan.0 (* (/ 1 (/ 1 (- beta))) 1)))) into (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (/ beta alpha)) (- +nan.0)))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 alpha) (fma beta alpha beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma beta alpha beta) in beta
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) beta)
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1.0 alpha) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ 1.0 alpha) 0) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 1.0 alpha)) into (sqrt (+ 1.0 alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 1) into (+ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (+ 1 alpha)) into (+ 1 alpha)
* [misc]backup-simplify:  Simplify (/ (+ 1 alpha) (* 2 (sqrt (+ 1.0 alpha)))) into (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 2) (+ 1.0 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) (+ 1.0 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 1.0 alpha) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (+ 2 (+ 1.0 alpha)) into (+ 3.0 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 3.0 alpha)) into (sqrt (+ 3.0 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ 3.0 alpha)))) into (* 1/2 (sqrt (/ 1 (+ 3.0 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ 1.0 alpha)) (sqrt (+ 3.0 alpha))) into (sqrt (/ (+ 1.0 alpha) (+ 3.0 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 2) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 alpha) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 2 alpha)) into (sqrt (+ 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ 2 alpha)))) into (* 1/2 (sqrt (/ 1 (+ 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 alpha) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (* (+ 2 alpha) (sqrt (+ 2 alpha))) into (sqrt (pow (+ 2 alpha) 3))
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (+ 1.0 alpha) (+ 3.0 alpha))) (sqrt (pow (+ 2 alpha) 3))) into (sqrt (/ (+ 1.0 alpha) (* (pow (+ 2 alpha) 3) (+ 3.0 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 alpha) (fma beta alpha beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma beta alpha beta) in alpha
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) 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]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ 1.0 beta) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 1.0)) into (sqrt (+ beta 1.0))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ 1 beta) into (+ beta 1)
* [misc]backup-simplify:  Simplify (/ (+ beta 1) (* 2 (sqrt (+ beta 1.0)))) into (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 2) (+ 1.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) (+ 1.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ (+ beta 2) 1.0) into (+ beta 3.0)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 3.0)) into (sqrt (+ beta 3.0))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta 3.0)))) into (* 1/2 (sqrt (/ 1 (+ beta 3.0))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta 1.0)) (sqrt (+ beta 3.0))) into (sqrt (/ (+ beta 1.0) (+ beta 3.0)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 2) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking 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 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (+ (+ beta 2) 0) into (+ beta 2)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 2)) into (sqrt (+ beta 2))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta 2)))) into (* 1/2 (sqrt (/ 1 (+ beta 2))))
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (+ (+ beta 2) 0) into (+ beta 2)
* [misc]backup-simplify:  Simplify (* (+ beta 2) (sqrt (+ beta 2))) into (sqrt (pow (+ beta 2) 3))
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (+ beta 1.0) (+ beta 3.0))) (sqrt (pow (+ beta 2) 3))) into (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (+ beta 3.0))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 alpha) (fma beta alpha beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma beta alpha beta) in alpha
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) 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]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ 1.0 beta) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 1.0)) into (sqrt (+ beta 1.0))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ 1 beta) into (+ beta 1)
* [misc]backup-simplify:  Simplify (/ (+ beta 1) (* 2 (sqrt (+ beta 1.0)))) into (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 2) (+ 1.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) (+ 1.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ (+ beta 2) 1.0) into (+ beta 3.0)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 3.0)) into (sqrt (+ beta 3.0))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta 3.0)))) into (* 1/2 (sqrt (/ 1 (+ beta 3.0))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta 1.0)) (sqrt (+ beta 3.0))) into (sqrt (/ (+ beta 1.0) (+ beta 3.0)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 2) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking 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 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (+ (+ beta 2) 0) into (+ beta 2)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 2)) into (sqrt (+ beta 2))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta 2)))) into (* 1/2 (sqrt (/ 1 (+ beta 2))))
* [misc]backup-simplify:  Simplify (+ beta 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (+ (+ beta 2) 0) into (+ beta 2)
* [misc]backup-simplify:  Simplify (* (+ beta 2) (sqrt (+ beta 2))) into (sqrt (pow (+ beta 2) 3))
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (+ beta 1.0) (+ beta 3.0))) (sqrt (pow (+ beta 2) 3))) into (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (+ beta 3.0))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (+ beta 3.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (+ beta 3.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 3) (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 2 4) into 8
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* 8 3.0) into 24.0
* [misc]backup-simplify:  Simplify (/ 1.0 24.0) into 0.041666666666666664
* [misc]backup-simplify:  Simplify (sqrt 0.041666666666666664) into (sqrt 0.041666666666666664)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 1 2)) into 4
* [misc]backup-simplify:  Simplify (+ (* 2 4) (* 1 4)) into 12
* [misc]backup-simplify:  Simplify (+ (* 8 1) (* 12 3.0)) into 44.0
* [misc]backup-simplify:  Simplify (- (/ 1 24.0) (+ (* 0.041666666666666664 (/ 44.0 24.0)))) into (- 0.03472222222222222)
* [misc]backup-simplify:  Simplify (/ (- 0.03472222222222222) (* 2 (sqrt 0.041666666666666664))) into (/ -0.01736111111111111 (sqrt 0.041666666666666664))
* [misc]backup-simplify:  Simplify (sqrt 0.041666666666666664) into (sqrt 0.041666666666666664)
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0))))) (sqrt (+ beta 3.0))) (+ (* (sqrt (/ (+ beta 1.0) (+ beta 3.0))) (/ (* 1/2 (sqrt (/ 1 (+ beta 3.0)))) (sqrt (+ beta 3.0)))))) into (- (+ (* 1/2 (sqrt (/ 1 (* (+ beta 3.0) (+ beta 1.0))))) (* 1/2 (* (sqrt (/ 1 (* (+ beta 3.0) (+ beta 1.0)))) beta))) (* 1/2 (sqrt (/ (+ beta 1.0) (pow (+ beta 3.0) 3)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta 2) (* 1/2 (sqrt (/ 1 (+ beta 2))))) (* 1 (sqrt (+ beta 2)))) into (* 3/2 (sqrt (+ beta 2)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 1/2 (sqrt (/ 1 (* (+ beta 3.0) (+ beta 1.0))))) (* 1/2 (* (sqrt (/ 1 (* (+ beta 3.0) (+ beta 1.0)))) beta))) (* 1/2 (sqrt (/ (+ beta 1.0) (pow (+ beta 3.0) 3))))) (sqrt (pow (+ beta 2) 3))) (+ (* (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (+ beta 3.0)))) (/ (* 3/2 (sqrt (+ beta 2))) (sqrt (pow (+ beta 2) 3)))))) into (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))))) beta)) (* 1/2 (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))))))) (+ (* 1/2 (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (pow (+ beta 3.0) 3))))) (* 3/2 (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 5) (+ beta 3.0)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))))) beta)) (* 1/2 (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))))))) (+ (* 1/2 (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (pow (+ beta 3.0) 3))))) (* 3/2 (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 5) (+ beta 3.0))))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))))) beta)) (* 1/2 (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))))) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 1/2 in beta
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (* (+ beta 3.0) (+ beta 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 2 4) into 8
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 3.0 1.0) into 3.0
* [misc]backup-simplify:  Simplify (* 8 3.0) into 24.0
* [misc]backup-simplify:  Simplify (/ 1 24.0) into 0.041666666666666664
* [misc]backup-simplify:  Simplify (sqrt 0.041666666666666664) into (sqrt 0.041666666666666664)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 3.0 1) (* 1 1.0)) into 4.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 1 2)) into 4
* [misc]backup-simplify:  Simplify (+ (* 2 4) (* 1 4)) into 12
* [misc]backup-simplify:  Simplify (+ (* 8 4.0) (* 12 3.0)) into 68.0
* [misc]backup-simplify:  Simplify (- (+ (* 0.041666666666666664 (/ 68.0 24.0)))) into (- 0.11805555555555555)
* [misc]backup-simplify:  Simplify (/ (- 0.11805555555555555) (* 2 (sqrt 0.041666666666666664))) into (/ -0.059027777777777776 (sqrt 0.041666666666666664))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of 1/2 in beta
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 3) (* (+ beta 3.0) (+ beta 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (* (+ beta 3.0) (+ beta 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 2 4) into 8
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 3.0 1.0) into 3.0
* [misc]backup-simplify:  Simplify (* 8 3.0) into 24.0
* [misc]backup-simplify:  Simplify (/ 1 24.0) into 0.041666666666666664
* [misc]backup-simplify:  Simplify (sqrt 0.041666666666666664) into (sqrt 0.041666666666666664)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 3.0 1) (* 1 1.0)) into 4.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 1 2)) into 4
* [misc]backup-simplify:  Simplify (+ (* 2 4) (* 1 4)) into 12
* [misc]backup-simplify:  Simplify (+ (* 8 4.0) (* 12 3.0)) into 68.0
* [misc]backup-simplify:  Simplify (- (+ (* 0.041666666666666664 (/ 68.0 24.0)))) into (- 0.11805555555555555)
* [misc]backup-simplify:  Simplify (/ (- 0.11805555555555555) (* 2 (sqrt 0.041666666666666664))) into (/ -0.059027777777777776 (sqrt 0.041666666666666664))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (pow (+ beta 3.0) 3))))) (* 3/2 (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 5) (+ beta 3.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (pow (+ beta 3.0) 3))))) in beta
* [misc]taylor:  Taking taylor expansion of 1/2 in beta
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (pow (+ beta 3.0) 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ beta 1.0) (* (pow (+ beta 2) 3) (pow (+ beta 3.0) 3))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 3) (pow (+ beta 3.0) 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 3.0) 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 2 4) into 8
* [misc]backup-simplify:  Simplify (* 3.0 3.0) into 9.0
* [misc]backup-simplify:  Simplify (* 3.0 9.0) into 27.0
* [misc]backup-simplify:  Simplify (* 8 27.0) into 216.0
* [misc]backup-simplify:  Simplify (/ 1.0 216.0) into 0.004629629629629629
* [misc]backup-simplify:  Simplify (sqrt 0.004629629629629629) into (sqrt 0.004629629629629629)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 3.0 1) (* 1 3.0)) into 6.0
* [misc]backup-simplify:  Simplify (+ (* 3.0 6.0) (* 1 9.0)) into 27.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 1 2)) into 4
* [misc]backup-simplify:  Simplify (+ (* 2 4) (* 1 4)) into 12
* [misc]backup-simplify:  Simplify (+ (* 8 27.0) (* 12 27.0)) into 540.0
* [misc]backup-simplify:  Simplify (- (/ 1 216.0) (+ (* 0.004629629629629629 (/ 540.0 216.0)))) into (- 0.006944444444444444)
* [misc]backup-simplify:  Simplify (/ (- 0.006944444444444444) (* 2 (sqrt 0.004629629629629629))) into (/ -0.003472222222222222 (sqrt 0.004629629629629629))
* [misc]taylor:  Taking taylor expansion of (* 3/2 (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 5) (+ beta 3.0))))) in beta
* [misc]taylor:  Taking taylor expansion of 3/2 in beta
* [misc]backup-simplify:  Simplify 3/2 into 3/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ beta 1.0) (* (pow (+ beta 2) 5) (+ beta 3.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ beta 1.0) (* (pow (+ beta 2) 5) (+ beta 3.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta 2) 5) (+ beta 3.0)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 2) 5) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]taylor:  Taking taylor expansion of (+ beta 3.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 4 4) into 16
* [misc]backup-simplify:  Simplify (* 2 16) into 32
* [misc]backup-simplify:  Simplify (+ 0 3.0) into 3.0
* [misc]backup-simplify:  Simplify (* 32 3.0) into 96.0
* [misc]backup-simplify:  Simplify (/ 1.0 96.0) into 0.010416666666666666
* [misc]backup-simplify:  Simplify (sqrt 0.010416666666666666) into (sqrt 0.010416666666666666)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 1 2)) into 4
* [misc]backup-simplify:  Simplify (+ (* 4 4) (* 4 4)) into 32
* [misc]backup-simplify:  Simplify (+ (* 2 32) (* 1 16)) into 80
* [misc]backup-simplify:  Simplify (+ (* 32 1) (* 80 3.0)) into 272.0
* [misc]backup-simplify:  Simplify (- (/ 1 96.0) (+ (* 0.010416666666666666 (/ 272.0 96.0)))) into (- 0.019097222222222224)
* [misc]backup-simplify:  Simplify (/ (- 0.019097222222222224) (* 2 (sqrt 0.010416666666666666))) into (/ -0.009548611111111112 (sqrt 0.010416666666666666))
* [misc]backup-simplify:  Simplify (* (sqrt 0.041666666666666664) 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 0.041666666666666664)) into (* 1/2 (sqrt 0.041666666666666664))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 (sqrt 0.041666666666666664))) into (* 1/2 (sqrt 0.041666666666666664))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 0.004629629629629629)) into (* 1/2 (sqrt 0.004629629629629629))
* [misc]backup-simplify:  Simplify (* 3/2 (sqrt 0.010416666666666666)) into (* 3/2 (sqrt 0.010416666666666666))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (sqrt 0.004629629629629629)) (* 3/2 (sqrt 0.010416666666666666))) into (+ (* 1/2 (sqrt 0.004629629629629629)) (* 3/2 (sqrt 0.010416666666666666)))
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (sqrt 0.004629629629629629)) (* 3/2 (sqrt 0.010416666666666666)))) into (- (+ (* 1/2 (sqrt 0.004629629629629629)) (* 3/2 (sqrt 0.010416666666666666))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (sqrt 0.041666666666666664)) (- (+ (* 1/2 (sqrt 0.004629629629629629)) (* 3/2 (sqrt 0.010416666666666666))))) into (- (* 1/2 (sqrt 0.041666666666666664)) (+ (* 1/2 (sqrt 0.004629629629629629)) (* 3/2 (sqrt 0.010416666666666666))))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sqrt 0.041666666666666664)) (+ (* 1/2 (sqrt 0.004629629629629629)) (* 3/2 (sqrt 0.010416666666666666)))) into (- (* 1/2 (sqrt 0.041666666666666664)) (+ (* 1/2 (sqrt 0.004629629629629629)) (* 3/2 (sqrt 0.010416666666666666))))
* [misc]backup-simplify:  Simplify (/ -0.01736111111111111 (sqrt 0.041666666666666664)) into (/ -0.01736111111111111 (sqrt 0.041666666666666664))
* [misc]backup-simplify:  Simplify (+ (* (/ -0.01736111111111111 (sqrt 0.041666666666666664)) (* beta 1)) (+ (* (- (* 1/2 (sqrt 0.041666666666666664)) (+ (* 1/2 (sqrt 0.004629629629629629)) (* 3/2 (sqrt 0.010416666666666666)))) (* 1 alpha)) (sqrt 0.041666666666666664))) into (- (+ (* 1/2 (* (sqrt 0.041666666666666664) alpha)) (sqrt 0.041666666666666664)) (+ (* 3/2 (* (sqrt 0.010416666666666666) alpha)) (+ (* 1/2 (* (sqrt 0.004629629629629629) alpha)) (* 0.01736111111111111 (/ beta (sqrt 0.041666666666666664))))))
* [misc]approximate:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) (sqrt (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha))))) (* (+ (+ (/ 1 beta) 2) (/ 1 alpha)) (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) (sqrt (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha))))) (* (+ (+ (/ 1 beta) 2) (/ 1 alpha)) (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) (sqrt (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 beta) (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 1) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 alpha) 1)) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 0) 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 (/ (* +nan.0 (+ (/ 1 alpha) 1)) +nan.0) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 beta) 2) (/ 1 alpha)) (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 0) 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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 (/ 1 alpha)) into (+ (/ 1 alpha) 2)
* [misc]backup-simplify:  Simplify (+ (* 1 +nan.0) (* (+ (/ 1 alpha) 2) 0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 alpha) 1)) (- +nan.0)) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) (sqrt (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha))))) (* (+ (+ (/ 1 beta) 2) (/ 1 alpha)) (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) (sqrt (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 beta) (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) 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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 beta) 1)) +nan.0) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 beta) 2) (/ 1 alpha)) (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 2) 0) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (+ (* 1 +nan.0) (* (+ (/ 1 beta) 2) 0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 beta) 1)) (- +nan.0)) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) (sqrt (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha))))) (* (+ (+ (/ 1 beta) 2) (/ 1 alpha)) (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) (sqrt (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 alpha)) (fma (/ 1 beta) (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 beta) (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) 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]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (+ 1.0 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 beta) 1)) +nan.0) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 beta) 2) (/ 1 alpha)) (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 2) 0) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (+ (* 1 +nan.0) (* (+ (/ 1 beta) 2) 0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 beta) 1)) (- +nan.0)) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (+ (/ 1 beta) 1)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1) 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 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [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 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 1) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1.0 (/ 1 beta)) into (+ (/ 1 beta) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) 1.0) (pow (* +nan.0 (+ (/ 1 beta) 1)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 2) 1.0) into (+ (/ 1 beta) 3.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) 3.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 beta) +nan.0))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) +nan.0) (+ (* (* +nan.0 (+ (/ 1 beta) 1)) (/ (* +nan.0 (- (/ 1 beta) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 2) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) 2) 0) into (+ (/ 1 beta) 2)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) 2) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 beta) +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* +nan.0 (- (/ 1 beta) +nan.0))) (+ (* (+ (/ 1 beta) 2) +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (- +nan.0)) (+ (* (* +nan.0 (+ (/ 1 beta) 1)) (/ (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) (- +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 beta)) (- +nan.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (+ (* +nan.0 0) (+ (* 0 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 (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (+ (* 0 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (+ (/ 1 beta) 1)) (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 3))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 beta) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 3))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))) +nan.0) (+ (* (* +nan.0 (+ (/ 1 beta) 1)) (/ (* +nan.0 (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (/ (* +nan.0 (- (/ 1 beta) +nan.0)) +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 beta) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 beta)) (- +nan.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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (* +nan.0 (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))) (+ (* (+ (/ 1 beta) 2) (* +nan.0 (- (/ 1 beta) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))) (- +nan.0)) (+ (* (* +nan.0 (+ (/ 1 beta) 1)) (/ (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (- +nan.0))) (* (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (/ (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) (- +nan.0))))) into (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0))))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.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 (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 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 (- 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) (sqrt (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha)))))) (* (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) (sqrt (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha)))))) (* (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) (sqrt (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) 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 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- beta)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) -1) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 alpha) 1)) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [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 0) 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 (/ (* +nan.0 (- (/ 1 alpha) 1)) +nan.0) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [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 0) 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 (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 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 (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 (/ -1 alpha)) into (- 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 +nan.0) (* (- 2 (/ 1 alpha)) 0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 alpha) 1)) (- +nan.0)) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) (sqrt (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha)))))) (* (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) (sqrt (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- beta)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) 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]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 beta) 1)) +nan.0) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- 2 (/ 1 beta)) 0) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* -1 +nan.0) (* (- 2 (/ 1 beta)) 0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 beta) 1)) (- +nan.0)) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) (sqrt (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha)))))) (* (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) (sqrt (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ 1.0 (/ 1 (- alpha))) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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 (- beta)) (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- beta)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) 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]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (+ 1.0 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ 1.0 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 beta) 1)) +nan.0) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- 2 (/ 1 beta)) 0) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* -1 +nan.0) (* (- 2 (/ 1 beta)) 0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 beta) 1)) (- +nan.0)) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (/ 1 beta) 1)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) 1) 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 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [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 (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 -1) (* 0 1))) 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 (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (/ 1 beta))) into (- 1.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (- (- 1.0 (/ 1 beta)) (pow (* +nan.0 (- (/ 1 beta) 1)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ (- 2 (/ 1 beta)) 1.0) into (- 3.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (- (- 3.0 (/ 1 beta)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 beta) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) +nan.0) (+ (* (* +nan.0 (- (/ 1 beta) 1)) (/ (* +nan.0 (+ (/ 1 beta) (- +nan.0))) +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) 2) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- 2 (/ 1 beta)) 0) into (- 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (- (- 2 (/ 1 beta)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 beta) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (* +nan.0 (+ (/ 1 beta) (- +nan.0)))) (+ (* (- 2 (/ 1 beta)) +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (- +nan.0)) (+ (* (* +nan.0 (- (/ 1 beta) 1)) (/ (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) (- +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 beta)) (- +nan.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (+ (* +nan.0 0) (+ (* 0 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 (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (+ (* 0 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 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (- (/ 1 beta) 1)) (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 3))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 beta) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow beta 3))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))) +nan.0) (+ (* (* +nan.0 (- (/ 1 beta) 1)) (/ (* +nan.0 (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (/ (* +nan.0 (+ (/ 1 beta) (- +nan.0))) +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 beta) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 beta)) (- +nan.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) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (* +nan.0 (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))) (+ (* (- 2 (/ 1 beta)) (* +nan.0 (+ (/ 1 beta) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))) (- +nan.0)) (+ (* (* +nan.0 (- (/ 1 beta) 1)) (/ (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (- +nan.0))) (* (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) (/ (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) (- +nan.0))))) into (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0))))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow beta 3))) (- +nan.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- +nan.0) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.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 (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* 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 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [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 (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 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 (- 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 2) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking 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 2) into (+ beta 2)
* [misc]backup-simplify:  Simplify (+ (+ beta 2) 0) into (+ beta 2)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 2)) into (sqrt (+ beta 2))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta 2)))) into (* 1/2 (sqrt (/ 1 (+ beta 2))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (fma beta alpha alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma beta alpha alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) alpha)
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ beta 1.0) 0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 1.0)) into (sqrt (+ beta 1.0))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ beta 1) into (+ beta 1)
* [misc]backup-simplify:  Simplify (+ 0 (+ beta 1)) into (+ beta 1)
* [misc]backup-simplify:  Simplify (/ (+ beta 1) (* 2 (sqrt (+ beta 1.0)))) into (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ alpha 2) (+ beta 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2) (+ beta 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion 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 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (+ 2 (+ beta 1.0)) into (+ beta 3.0)
* [misc]backup-simplify:  Simplify (sqrt (+ beta 3.0)) into (sqrt (+ beta 3.0))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ beta 3.0)))) into (* 1/2 (sqrt (/ 1 (+ beta 3.0))))
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ beta 3.0))) into (pow (+ beta 3.0) 1/4)
* [misc]backup-simplify:  Simplify (/ (* 1/2 (sqrt (/ 1 (+ beta 3.0)))) (* 2 (sqrt (sqrt (+ beta 3.0))))) into (* 1/4 (pow (/ 1 (pow (+ beta 3.0) 3)) 1/4))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta 1.0)) (pow (+ beta 3.0) 1/4)) into (* (pow (/ 1 (+ beta 3.0)) 1/4) (sqrt (+ beta 1.0)))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta 2)) (* (pow (/ 1 (+ beta 3.0)) 1/4) (sqrt (+ beta 1.0)))) into (* (sqrt (/ (+ beta 2) (+ beta 1.0))) (pow (+ beta 3.0) 1/4))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 2) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 alpha) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 2 alpha)) into (sqrt (+ 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ 2 alpha)))) into (* 1/2 (sqrt (/ 1 (+ 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (fma beta alpha alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma beta alpha alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) alpha)
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ 1.0 alpha) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 1.0 alpha)) into (sqrt (+ 1.0 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ 1 alpha) into (+ 1 alpha)
* [misc]backup-simplify:  Simplify (/ (+ 1 alpha) (* 2 (sqrt (+ 1.0 alpha)))) into (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ alpha 2) (+ beta 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2) (+ beta 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha 2) 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 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ (+ 2 alpha) 1.0) into (+ 3.0 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 3.0 alpha)) into (sqrt (+ 3.0 alpha))
* [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 (* 2 (sqrt (+ 3.0 alpha)))) into (* 1/2 (sqrt (/ 1 (+ 3.0 alpha))))
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ 3.0 alpha))) into (pow (+ 3.0 alpha) 1/4)
* [misc]backup-simplify:  Simplify (/ (* 1/2 (sqrt (/ 1 (+ 3.0 alpha)))) (* 2 (sqrt (sqrt (+ 3.0 alpha))))) into (* 1/4 (pow (/ 1 (pow (+ 3.0 alpha) 3)) 1/4))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ 1.0 alpha)) (pow (+ 3.0 alpha) 1/4)) into (* (sqrt (+ 1.0 alpha)) (pow (/ 1 (+ 3.0 alpha)) 1/4))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ 2 alpha)) (* (sqrt (+ 1.0 alpha)) (pow (/ 1 (+ 3.0 alpha)) 1/4))) into (* (sqrt (/ (+ 2 alpha) (+ 1.0 alpha))) (pow (+ 3.0 alpha) 1/4))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 2) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 2) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 2) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 alpha) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 2 alpha)) into (sqrt (+ 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt (+ 2 alpha)))) into (* 1/2 (sqrt (/ 1 (+ 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (fma beta alpha alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma beta alpha alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* beta alpha) alpha)
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ 1.0 alpha) into (+ 1.0 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 1.0 alpha)) into (sqrt (+ 1.0 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ 1 alpha) into (+ 1 alpha)
* [misc]backup-simplify:  Simplify (/ (+ 1 alpha) (* 2 (sqrt (+ 1.0 alpha)))) into (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ alpha 2) (+ beta 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha 2) (+ beta 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha 2) 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 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ beta 1.0) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ (+ 2 alpha) 1.0) into (+ 3.0 alpha)
* [misc]backup-simplify:  Simplify (sqrt (+ 3.0 alpha)) into (sqrt (+ 3.0 alpha))
* [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 (* 2 (sqrt (+ 3.0 alpha)))) into (* 1/2 (sqrt (/ 1 (+ 3.0 alpha))))
* [misc]backup-simplify:  Simplify (sqrt (sqrt (+ 3.0 alpha))) into (pow (+ 3.0 alpha) 1/4)
* [misc]backup-simplify:  Simplify (/ (* 1/2 (sqrt (/ 1 (+ 3.0 alpha)))) (* 2 (sqrt (sqrt (+ 3.0 alpha))))) into (* 1/4 (pow (/ 1 (pow (+ 3.0 alpha) 3)) 1/4))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ 1.0 alpha)) (pow (+ 3.0 alpha) 1/4)) into (* (sqrt (+ 1.0 alpha)) (pow (/ 1 (+ 3.0 alpha)) 1/4))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ 2 alpha)) (* (sqrt (+ 1.0 alpha)) (pow (/ 1 (+ 3.0 alpha)) 1/4))) into (* (sqrt (/ (+ 2 alpha) (+ 1.0 alpha))) (pow (+ 3.0 alpha) 1/4))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (+ 2 alpha) (+ 1.0 alpha))) (pow (+ 3.0 alpha) 1/4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 2 alpha) (+ 1.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ 2 alpha) (+ 1.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (/ 2 1.0) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 1.0) (+ (* 2.0 (/ 1 1.0)))) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ (- 1.0) (* 2 (sqrt 2.0))) into (/ -0.5 (sqrt 2.0))
* [misc]taylor:  Taking taylor expansion of (pow (+ 3.0 alpha) 1/4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (+ 3.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log (+ 3.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/4 in alpha
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (log (+ 3.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 3.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 3.0 in alpha
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 3.0 0) into 3.0
* [misc]backup-simplify:  Simplify (log 3.0) into (log 3.0)
* [misc]backup-simplify:  Simplify (* 1/4 (log 3.0)) into (* 1/4 (log 3.0))
* [misc]backup-simplify:  Simplify (exp (* 1/4 (log 3.0))) into (pow 3.0 1/4)
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) (pow 3.0 1/4)) into (* (sqrt 2.0) (pow 3.0 1/4))
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) (pow 3.0 1/4)) into (* (sqrt 2.0) (pow 3.0 1/4))
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha))) (pow (+ 3.0 alpha) 1/4)) (+ (* (* (sqrt (+ 1.0 alpha)) (pow (/ 1 (+ 3.0 alpha)) 1/4)) (/ (* 1/4 (pow (/ 1 (pow (+ 3.0 alpha) 3)) 1/4)) (pow (+ 3.0 alpha) 1/4))))) into (- (+ (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (pow (/ 1 (+ 3.0 alpha)) 1/4))) (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (* (pow (/ 1 (+ 3.0 alpha)) 1/4) alpha)))) (* 1/4 (* (sqrt (+ 1.0 alpha)) (pow (/ 1 (pow (+ 3.0 alpha) 5)) 1/4))))
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (sqrt (/ 1 (+ 2 alpha)))) (* (sqrt (+ 1.0 alpha)) (pow (/ 1 (+ 3.0 alpha)) 1/4))) (+ (* (* (sqrt (/ (+ 2 alpha) (+ 1.0 alpha))) (pow (+ 3.0 alpha) 1/4)) (/ (- (+ (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (pow (/ 1 (+ 3.0 alpha)) 1/4))) (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (* (pow (/ 1 (+ 3.0 alpha)) 1/4) alpha)))) (* 1/4 (* (sqrt (+ 1.0 alpha)) (pow (/ 1 (pow (+ 3.0 alpha) 5)) 1/4)))) (* (sqrt (+ 1.0 alpha)) (pow (/ 1 (+ 3.0 alpha)) 1/4)))))) into (- (+ (* 1/2 (* (sqrt (/ 1 (* (+ 2 alpha) (+ 1.0 alpha)))) (pow (+ 3.0 alpha) 1/4))) (* 1/4 (* (sqrt (/ (+ 2 alpha) (+ 1.0 alpha))) (pow (/ 1 (pow (+ 3.0 alpha) 3)) 1/4)))) (+ (* 1/2 (* (sqrt (/ (+ 2 alpha) (pow (+ 1.0 alpha) 3))) (* (pow (+ 3.0 alpha) 1/4) alpha))) (* 1/2 (* (sqrt (/ (+ 2 alpha) (pow (+ 1.0 alpha) 3))) (pow (+ 3.0 alpha) 1/4)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (* (sqrt (/ 1 (* (+ 2 alpha) (+ 1.0 alpha)))) (pow (+ 3.0 alpha) 1/4))) (* 1/4 (* (sqrt (/ (+ 2 alpha) (+ 1.0 alpha))) (pow (/ 1 (pow (+ 3.0 alpha) 3)) 1/4)))) (+ (* 1/2 (* (sqrt (/ (+ 2 alpha) (pow (+ 1.0 alpha) 3))) (* (pow (+ 3.0 alpha) 1/4) alpha))) (* 1/2 (* (sqrt (/ (+ 2 alpha) (pow (+ 1.0 alpha) 3))) (pow (+ 3.0 alpha) 1/4))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ 1 (* (+ 2 alpha) (+ 1.0 alpha)))) (pow (+ 3.0 alpha) 1/4))) (* 1/4 (* (sqrt (/ (+ 2 alpha) (+ 1.0 alpha))) (pow (/ 1 (pow (+ 3.0 alpha) 3)) 1/4)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (* (+ 2 alpha) (+ 1.0 alpha)))) (pow (+ 3.0 alpha) 1/4))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* (+ 2 alpha) (+ 1.0 alpha)))) (pow (+ 3.0 alpha) 1/4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ 2 alpha) (+ 1.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ 2 alpha) (+ 1.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ 2 alpha) (+ 1.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (* 2 1.0) into 2.0
* [misc]backup-simplify:  Simplify (/ 1 2.0) into 0.5
* [misc]backup-simplify:  Simplify (sqrt 0.5) into (sqrt 0.5)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 1 1.0)) into 3.0
* [misc]backup-simplify:  Simplify (- (+ (* 0.5 (/ 3.0 2.0)))) into (- 0.75)
* [misc]backup-simplify:  Simplify (/ (- 0.75) (* 2 (sqrt 0.5))) into (/ -0.375 (sqrt 0.5))
* [misc]taylor:  Taking taylor expansion of (pow (+ 3.0 alpha) 1/4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (+ 3.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log (+ 3.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/4 in alpha
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (log (+ 3.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 3.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 3.0 in alpha
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 3.0 0) into 3.0
* [misc]backup-simplify:  Simplify (log 3.0) into (log 3.0)
* [misc]backup-simplify:  Simplify (* 1/4 (log 3.0)) into (* 1/4 (log 3.0))
* [misc]backup-simplify:  Simplify (exp (* 1/4 (log 3.0))) into (pow 3.0 1/4)
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (sqrt (/ (+ 2 alpha) (+ 1.0 alpha))) (pow (/ 1 (pow (+ 3.0 alpha) 3)) 1/4))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/4 in alpha
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (+ 2 alpha) (+ 1.0 alpha))) (pow (/ 1 (pow (+ 3.0 alpha) 3)) 1/4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 2 alpha) (+ 1.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ 2 alpha) (+ 1.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (/ 2 1.0) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 1.0) (+ (* 2.0 (/ 1 1.0)))) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ (- 1.0) (* 2 (sqrt 2.0))) into (/ -0.5 (sqrt 2.0))
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (pow (+ 3.0 alpha) 3)) 1/4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow (+ 3.0 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log (/ 1 (pow (+ 3.0 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/4 in alpha
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (pow (+ 3.0 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ 3.0 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ 3.0 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 3.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 3.0 in alpha
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 3.0 0) into 3.0
* [misc]backup-simplify:  Simplify (* 3.0 3.0) into 9.0
* [misc]backup-simplify:  Simplify (* 3.0 9.0) into 27.0
* [misc]backup-simplify:  Simplify (/ 1 27.0) into 0.037037037037037035
* [misc]backup-simplify:  Simplify (log 0.037037037037037035) into (log 0.037037037037037035)
* [misc]backup-simplify:  Simplify (* 1/4 (log 0.037037037037037035)) into (* 1/4 (log 0.037037037037037035))
* [misc]backup-simplify:  Simplify (exp (* 1/4 (log 0.037037037037037035))) into (pow 0.037037037037037035 1/4)
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ (+ 2 alpha) (pow (+ 1.0 alpha) 3))) (* (pow (+ 3.0 alpha) 1/4) alpha))) (* 1/2 (* (sqrt (/ (+ 2 alpha) (pow (+ 1.0 alpha) 3))) (pow (+ 3.0 alpha) 1/4)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ (+ 2 alpha) (pow (+ 1.0 alpha) 3))) (* (pow (+ 3.0 alpha) 1/4) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (+ 2 alpha) (pow (+ 1.0 alpha) 3))) (* (pow (+ 3.0 alpha) 1/4) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 2 alpha) (pow (+ 1.0 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ 2 alpha) (pow (+ 1.0 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ 1.0 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 1.0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 1.0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (/ 2 1.0) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ (* 1.0 2.0) (* 1 1.0)) into 3.0
* [misc]backup-simplify:  Simplify (- (/ 1 1.0) (+ (* 2.0 (/ 3.0 1.0)))) into (- 5.0)
* [misc]backup-simplify:  Simplify (/ (- 5.0) (* 2 (sqrt 2.0))) into (/ -2.5 (sqrt 2.0))
* [misc]taylor:  Taking taylor expansion of (* (pow (+ 3.0 alpha) 1/4) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ 3.0 alpha) 1/4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (+ 3.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log (+ 3.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/4 in alpha
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (log (+ 3.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 3.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 3.0 in alpha
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 3.0 0) into 3.0
* [misc]backup-simplify:  Simplify (log 3.0) into (log 3.0)
* [misc]backup-simplify:  Simplify (* 1/4 (log 3.0)) into (* 1/4 (log 3.0))
* [misc]backup-simplify:  Simplify (exp (* 1/4 (log 3.0))) into (pow 3.0 1/4)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ (+ 2 alpha) (pow (+ 1.0 alpha) 3))) (pow (+ 3.0 alpha) 1/4))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (+ 2 alpha) (pow (+ 1.0 alpha) 3))) (pow (+ 3.0 alpha) 1/4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ 2 alpha) (pow (+ 1.0 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ 2 alpha) (pow (+ 1.0 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 2 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ 1.0 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 1.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 1.0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 1.0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (/ 2 1.0) into 2.0
* [misc]backup-simplify:  Simplify (sqrt 2.0) into (sqrt 2.0)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ (* 1.0 2.0) (* 1 1.0)) into 3.0
* [misc]backup-simplify:  Simplify (- (/ 1 1.0) (+ (* 2.0 (/ 3.0 1.0)))) into (- 5.0)
* [misc]backup-simplify:  Simplify (/ (- 5.0) (* 2 (sqrt 2.0))) into (/ -2.5 (sqrt 2.0))
* [misc]taylor:  Taking taylor expansion of (pow (+ 3.0 alpha) 1/4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (+ 3.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log (+ 3.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/4 in alpha
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (log (+ 3.0 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 3.0 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 3.0 in alpha
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 3.0 0) into 3.0
* [misc]backup-simplify:  Simplify (log 3.0) into (log 3.0)
* [misc]backup-simplify:  Simplify (* 1/4 (log 3.0)) into (* 1/4 (log 3.0))
* [misc]backup-simplify:  Simplify (exp (* 1/4 (log 3.0))) into (pow 3.0 1/4)
* [misc]backup-simplify:  Simplify (* (sqrt 0.5) (pow 3.0 1/4)) into (* (pow 3.0 1/4) (sqrt 0.5))
* [misc]backup-simplify:  Simplify (* 1/2 (* (pow 3.0 1/4) (sqrt 0.5))) into (* 1/2 (* (pow 3.0 1/4) (sqrt 0.5)))
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) (pow 0.037037037037037035 1/4)) into (* (sqrt 2.0) (pow 0.037037037037037035 1/4))
* [misc]backup-simplify:  Simplify (* 1/4 (* (sqrt 2.0) (pow 0.037037037037037035 1/4))) into (* 1/4 (* (sqrt 2.0) (pow 0.037037037037037035 1/4)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (* (pow 3.0 1/4) (sqrt 0.5))) (* 1/4 (* (sqrt 2.0) (pow 0.037037037037037035 1/4)))) into (+ (* 1/4 (* (sqrt 2.0) (pow 0.037037037037037035 1/4))) (* 1/2 (* (pow 3.0 1/4) (sqrt 0.5))))
* [misc]backup-simplify:  Simplify (* (pow 3.0 1/4) 0) into 0
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (* (sqrt 2.0) (pow 3.0 1/4)) into (* (sqrt 2.0) (pow 3.0 1/4))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt 2.0) (pow 3.0 1/4))) into (* 1/2 (* (sqrt 2.0) (pow 3.0 1/4)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 (* (sqrt 2.0) (pow 3.0 1/4)))) into (* 1/2 (* (sqrt 2.0) (pow 3.0 1/4)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (* (sqrt 2.0) (pow 3.0 1/4)))) into (- (* 1/2 (* (sqrt 2.0) (pow 3.0 1/4))))
* [misc]backup-simplify:  Simplify (+ (+ (* 1/4 (* (sqrt 2.0) (pow 0.037037037037037035 1/4))) (* 1/2 (* (pow 3.0 1/4) (sqrt 0.5)))) (- (* 1/2 (* (sqrt 2.0) (pow 3.0 1/4))))) into (- (+ (* 1/4 (* (sqrt 2.0) (pow 0.037037037037037035 1/4))) (* 1/2 (* (pow 3.0 1/4) (sqrt 0.5)))) (* 1/2 (* (sqrt 2.0) (pow 3.0 1/4))))
* [misc]backup-simplify:  Simplify (- (+ (* 1/4 (* (sqrt 2.0) (pow 0.037037037037037035 1/4))) (* 1/2 (* (pow 3.0 1/4) (sqrt 0.5)))) (* 1/2 (* (sqrt 2.0) (pow 3.0 1/4)))) into (- (+ (* 1/4 (* (sqrt 2.0) (pow 0.037037037037037035 1/4))) (* 1/2 (* (pow 3.0 1/4) (sqrt 0.5)))) (* 1/2 (* (sqrt 2.0) (pow 3.0 1/4))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 3.0 1)))) 1) into 0.3333333333333333
* [misc]backup-simplify:  Simplify (+ (* 1/4 0.3333333333333333) (* 0 (log 3.0))) into 0.08333333333333333
* [misc]backup-simplify:  Simplify (* (exp (* 1/4 (log 3.0))) (+ (* (/ (pow 0.08333333333333333 1) 1)))) into (* 0.08333333333333333 (pow 3.0 1/4))
* [misc]backup-simplify:  Simplify (+ (* (sqrt 2.0) (* 0.08333333333333333 (pow 3.0 1/4))) (* (/ -0.5 (sqrt 2.0)) (pow 3.0 1/4))) into (- (* 0.08333333333333333 (* (sqrt 2.0) (pow 3.0 1/4))) (* 0.5 (* (/ 1 (sqrt 2.0)) (pow 3.0 1/4))))
* [misc]backup-simplify:  Simplify (- (* 0.08333333333333333 (* (sqrt 2.0) (pow 3.0 1/4))) (* 0.5 (* (/ 1 (sqrt 2.0)) (pow 3.0 1/4)))) into (- (* 0.08333333333333333 (* (sqrt 2.0) (pow 3.0 1/4))) (* 0.5 (* (/ 1 (sqrt 2.0)) (pow 3.0 1/4))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 0.08333333333333333 (* (sqrt 2.0) (pow 3.0 1/4))) (* 0.5 (* (/ 1 (sqrt 2.0)) (pow 3.0 1/4)))) (* alpha 1)) (+ (* (- (+ (* 1/4 (* (sqrt 2.0) (pow 0.037037037037037035 1/4))) (* 1/2 (* (pow 3.0 1/4) (sqrt 0.5)))) (* 1/2 (* (sqrt 2.0) (pow 3.0 1/4)))) (* 1 beta)) (* (sqrt 2.0) (pow 3.0 1/4)))) into (- (+ (* 0.08333333333333333 (* (* (sqrt 2.0) alpha) (pow 3.0 1/4))) (+ (* 1/4 (* (* (sqrt 2.0) beta) (pow 0.037037037037037035 1/4))) (+ (* (sqrt 2.0) (pow 3.0 1/4)) (* 1/2 (* (pow 3.0 1/4) (* (sqrt 0.5) beta)))))) (+ (* 0.5 (* (/ alpha (sqrt 2.0)) (pow 3.0 1/4))) (* 1/2 (* (* (sqrt 2.0) beta) (pow 3.0 1/4)))))
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))) (/ (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) (sqrt (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0)))))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))) (/ (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) (sqrt (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) (sqrt (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1.0) 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 1) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 beta) 1)) into (+ (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2) 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 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1.0) 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 1.0) into (+ (/ 1 beta) 1.0)
* [misc]backup-simplify:  Simplify (+ 2 (+ (/ 1 beta) 1.0)) into (+ (/ 1 beta) 3.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 beta) 3.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 beta) +nan.0))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 beta) +nan.0)) (* 2 (sqrt +nan.0))) into (* +nan.0 (/ (- (/ 1 beta) +nan.0) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 beta) 1)) (sqrt +nan.0)) into (* +nan.0 (/ (+ (/ 1 beta) 1) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ +nan.0 (* +nan.0 (/ (+ (/ 1 beta) 1) (sqrt +nan.0)))) into (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 beta) 1)))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))) (/ (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) (sqrt (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 0) 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 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) (sqrt (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 alpha)) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2) 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 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 2) into (+ (/ 1 alpha) 2)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 alpha) 2) 1.0) into (+ (/ 1 alpha) 3.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 alpha) 3.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 alpha) +nan.0))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 alpha) +nan.0)) (* 2 (sqrt +nan.0))) into (* +nan.0 (/ (- (/ 1 alpha) +nan.0) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 alpha) 1)) (sqrt +nan.0)) into (* +nan.0 (/ (+ (/ 1 alpha) 1) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ +nan.0 (* +nan.0 (/ (+ (/ 1 alpha) 1) (sqrt +nan.0)))) into (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1)))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))) (/ (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) (sqrt (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 2) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 2) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 2) 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 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 0) 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 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) (sqrt (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 beta) (/ 1 alpha) (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 beta) (/ 1 alpha)) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  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 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 alpha)) into (+ (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) 2) (+ (/ 1 beta) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 2) 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 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 2) into (+ (/ 1 alpha) 2)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 alpha) 2) 1.0) into (+ (/ 1 alpha) 3.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 alpha) 3.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 alpha) +nan.0))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 alpha) +nan.0)) (* 2 (sqrt +nan.0))) into (* +nan.0 (/ (- (/ 1 alpha) +nan.0) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 alpha) 1)) (sqrt +nan.0)) into (* +nan.0 (/ (+ (/ 1 alpha) 1) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ +nan.0 (* +nan.0 (/ (+ (/ 1 alpha) 1) (sqrt +nan.0)))) into (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (+ (/ 1 alpha) 1)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 (/ 1 alpha)) into (+ (/ 1 alpha) 2)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 alpha) 2) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 alpha) +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1.0 (/ 1 alpha)) into (+ (/ 1 alpha) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (+ (/ 1 alpha) 1.0) (pow (* +nan.0 (+ (/ 1 alpha) 1)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))))) (sqrt +nan.0)) (+ (* (* +nan.0 (/ (+ (/ 1 alpha) 1) (sqrt +nan.0))) (/ (* +nan.0 (/ (- (/ 1 alpha) +nan.0) (sqrt +nan.0))) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) alpha))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))))))))))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (- (/ 1 alpha) +nan.0)) (* +nan.0 (/ (+ (/ 1 alpha) 1) (sqrt +nan.0)))) (+ (* (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (/ (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) alpha))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))))))))))) (* +nan.0 (/ (+ (/ 1 alpha) 1) (sqrt +nan.0))))))) into (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 alpha) 1) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 0)) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 2))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 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 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 1) (* 0 0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 1)) into 2
* [misc]backup-simplify:  Simplify (+ (* 1 (sqrt +nan.0)) (* 2 0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (sqrt +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (* (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (* 1 (sqrt +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (+ (/ 1 alpha) 1)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 2) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) 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 1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 1)) into 2
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 2 0)) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt +nan.0)) into (* +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt +nan.0)) into (* +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (sqrt +nan.0)))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqrt +nan.0)))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (sqrt +nan.0)))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqrt +nan.0)))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (sqrt +nan.0)) (- (* +nan.0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqrt +nan.0)) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt +nan.0)) into (* +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt +nan.0)) into (* +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 alpha) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (+ (/ 1 alpha) 1)) (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow alpha 3))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 alpha) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))) (pow (* +nan.0 (/ (- (/ 1 alpha) +nan.0) (sqrt +nan.0))) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow alpha 2)))) (- +nan.0)))))))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow alpha 3)))))))))) (sqrt +nan.0)) (+ (* (* +nan.0 (/ (+ (/ 1 alpha) 1) (sqrt +nan.0))) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow alpha 2)))) (- +nan.0)))))))) (sqrt +nan.0))) (sqrt +nan.0))) (* (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) alpha))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))))))))))) (/ (* +nan.0 (/ (- (/ 1 alpha) +nan.0) (sqrt +nan.0))) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 5) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) alpha))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 5) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 5) alpha))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))) (* +nan.0 (/ (+ (/ 1 alpha) 1) (sqrt +nan.0)))) (+ (* (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (/ (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 5) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) alpha))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 5) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 5) alpha))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))))))))))))))))))))))) (* +nan.0 (/ (+ (/ 1 alpha) 1) (sqrt +nan.0))))) (* (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))) (/ (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) alpha))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))))))))))) (* +nan.0 (/ (+ (/ 1 alpha) 1) (sqrt +nan.0))))))) into (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (pow (sqrt +nan.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (pow (sqrt +nan.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 2) (pow (sqrt +nan.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 (pow (sqrt +nan.0) 3)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 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 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 1) (* 0 0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 1)) into 2
* [misc]backup-simplify:  Simplify (+ (* 1 (sqrt +nan.0)) (* 2 0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 2))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 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 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 1) (* 0 0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 1)) into 2
* [misc]backup-simplify:  Simplify (+ (* 1 2) (* 1 1)) into 3
* [misc]backup-simplify:  Simplify (+ (* 1 (sqrt +nan.0)) (* 3 0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 (pow (sqrt +nan.0) 3)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) (pow alpha 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (* 1 (sqrt +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 2) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) 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 1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 1)) into 2
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 2 0)) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (sqrt +nan.0) 3) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 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 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* (pow (sqrt +nan.0) 3) 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 (pow (sqrt +nan.0) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt +nan.0) 3) 1) (* 0 0)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 1)) into 2
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (sqrt +nan.0) 3)) (* 2 0)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (pow alpha 4) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 3) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) 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 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 1)) into 2
* [misc]backup-simplify:  Simplify (+ (* 1 2) (* 1 1)) into 3
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 3 0)) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (pow (+ (/ 1 alpha) 1) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (sqrt +nan.0) 3) (pow alpha 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow (sqrt +nan.0) 3) 1) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 (pow (sqrt +nan.0) 3)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 2) (sqrt +nan.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (sqrt +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (+ (/ 1 alpha) 1) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 alpha) 1) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 0)) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (* 1 (sqrt +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (sqrt +nan.0) 3) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow (sqrt +nan.0) 3) 1) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 (pow (sqrt +nan.0) 3)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) (pow alpha 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (* 1 (sqrt +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 3) (pow alpha 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (sqrt +nan.0) 3) (pow alpha 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow (sqrt +nan.0) 3) 1) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 (pow (sqrt +nan.0) 3)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (sqrt +nan.0) 3) (pow alpha 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 4) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow (sqrt +nan.0) 3) 1) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 (pow (sqrt +nan.0) 3)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (+ (/ 1 alpha) 1))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (+ (/ 1 alpha) 1)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 3) (sqrt +nan.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (sqrt +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (sqrt +nan.0) 3) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow (sqrt +nan.0) 3) 1) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 (pow (sqrt +nan.0) 3)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) (pow alpha 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 4) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (* 1 (sqrt +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (* (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (* 1 (sqrt +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (sqrt +nan.0) 3) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 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 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* (pow (sqrt +nan.0) 3) 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 (pow (sqrt +nan.0) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt +nan.0) 3) 1) (* 0 0)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 1)) into 2
* [misc]backup-simplify:  Simplify (+ (* 1 2) (* 1 1)) into 3
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (sqrt +nan.0) 3)) (* 3 0)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (/ 1 alpha) 1) 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 1)) into 2
* [misc]backup-simplify:  Simplify (+ (* 1 2) (* 1 1)) into 3
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 3 1)) into 3
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt +nan.0) (/ 3 1)))) into (- (* 3 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* 3 (sqrt +nan.0)))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 (pow (sqrt +nan.0) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt +nan.0) 3) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 1)) into 2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 2 (pow (sqrt +nan.0) 3))) into (* 2 (pow (sqrt +nan.0) 3))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt +nan.0) 3)) (/ (* 2 (pow (sqrt +nan.0) 3)) (pow (sqrt +nan.0) 3))))) into (- (* 2 (/ 1 (pow (sqrt +nan.0) 3))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* 2 (/ 1 (pow (sqrt +nan.0) 3))))) (* 0 (/ 1 (pow (sqrt +nan.0) 3)))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt +nan.0)) into (* +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 1)) into 2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 2 (sqrt +nan.0))) into (* 2 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt +nan.0)) (/ (* 2 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (* 2 (/ 1 (sqrt +nan.0))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* 2 (/ 1 (sqrt +nan.0))))) (* 0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 1)) into 2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 2 1)) into 2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt +nan.0) (/ 2 1)))) into (- (* 2 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* 2 (sqrt +nan.0)))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt +nan.0)) into (* +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) into (/ +nan.0 (pow (sqrt +nan.0) 3))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 (pow (sqrt +nan.0) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt +nan.0) 3) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 1)) into 2
* [misc]backup-simplify:  Simplify (+ (* 1 2) (* 1 1)) into 3
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 3 (pow (sqrt +nan.0) 3))) into (* 3 (pow (sqrt +nan.0) 3))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt +nan.0) 3)) (/ (* 3 (pow (sqrt +nan.0) 3)) (pow (sqrt +nan.0) 3))))) into (- (* 3 (/ 1 (pow (sqrt +nan.0) 3))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* 3 (/ 1 (pow (sqrt +nan.0) 3))))) (* 0 (/ 1 (pow (sqrt +nan.0) 3)))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) into (/ +nan.0 (pow (sqrt +nan.0) 3))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 1)) into 2
* [misc]backup-simplify:  Simplify (+ (* 1 2) (* 1 1)) into 3
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 3 (sqrt +nan.0))) into (* 3 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt +nan.0)) (/ (* 3 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (* 3 (/ 1 (sqrt +nan.0))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* 3 (/ 1 (sqrt +nan.0))))) (* 0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt +nan.0)) into (* +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (sqrt +nan.0)))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqrt +nan.0)))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (sqrt +nan.0)) (- (* +nan.0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (pow (sqrt +nan.0) 3)) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (pow (sqrt +nan.0) 3)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqrt +nan.0)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (sqrt +nan.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqrt +nan.0)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (sqrt +nan.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (sqrt +nan.0)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) (pow (* 1 (/ 1 beta)) 2)) (+ (* (* +nan.0 (sqrt +nan.0)) (* (/ 1 alpha) 1)) (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (* 1 (/ 1 beta))))) into (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow beta 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) alpha)) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow beta 2))) (- (+ (* +nan.0 (/ (sqrt +nan.0) beta)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow beta 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) beta))))))))))))))
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))) (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) (sqrt (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0)))))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))) (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) (sqrt (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) (sqrt (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 1.0) 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) 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 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) -1) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 beta) 1)) into (- (/ 1 beta) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 beta) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2) 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 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 1.0) 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) 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 (sqrt +nan.0) into (sqrt +nan.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 2) into 2
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) 1.0) into (- 1.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 2 (- 1.0 (/ 1 beta))) into (- 3.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (- (- 3.0 (/ 1 beta)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 beta) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 beta) (- +nan.0))) (* 2 (sqrt +nan.0))) into (* +nan.0 (/ (- (/ 1 beta) +nan.0) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 beta) 1)) (sqrt +nan.0)) into (* +nan.0 (/ (- (/ 1 beta) 1) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ +nan.0 (* +nan.0 (/ (- (/ 1 beta) 1) (sqrt +nan.0)))) into (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 beta) 1)))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))) (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) (sqrt (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [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 0) 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 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) (sqrt (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [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 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 alpha)) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2) 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 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 2) into (- 2 (/ 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 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ (- 2 (/ 1 alpha)) 1.0) into (- 3.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (- 3.0 (/ 1 alpha)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 alpha) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 alpha) (- +nan.0))) (* 2 (sqrt +nan.0))) into (* +nan.0 (/ (- (/ 1 alpha) +nan.0) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 alpha) 1)) (sqrt +nan.0)) into (* +nan.0 (/ (- (/ 1 alpha) 1) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ +nan.0 (* +nan.0 (/ (- (/ 1 alpha) 1) (sqrt +nan.0)))) into (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1)))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))) (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) (sqrt (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 2) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 2) 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 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [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 0) 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 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) (sqrt (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- beta)) (/ 1 (- alpha)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [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 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 alpha)) into (- (/ 1 alpha) 1)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (- (/ 1 alpha) 1) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) 2) (+ (/ 1 (- beta)) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) 2) 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 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) 1.0) 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -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 (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 2) into (- 2 (/ 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 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ (- 2 (/ 1 alpha)) 1.0) into (- 3.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (- 3.0 (/ 1 alpha)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 alpha) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 alpha) (- +nan.0))) (* 2 (sqrt +nan.0))) into (* +nan.0 (/ (- (/ 1 alpha) +nan.0) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 alpha) 1)) (sqrt +nan.0)) into (* +nan.0 (/ (- (/ 1 alpha) 1) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (/ +nan.0 (* +nan.0 (/ (- (/ 1 alpha) 1) (sqrt +nan.0)))) into (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (- (/ 1 alpha) 1)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.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 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 (/ -1 alpha)) into (- 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (- 2 (/ 1 alpha)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 alpha) (- +nan.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 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ -1 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (/ 1 alpha))) into (- 1.0 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (- (- 1.0 (/ 1 alpha)) (pow (* +nan.0 (- (/ 1 alpha) 1)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))))) (sqrt +nan.0)) (+ (* (* +nan.0 (/ (- (/ 1 alpha) 1) (sqrt +nan.0))) (/ (* +nan.0 (/ (- (/ 1 alpha) +nan.0) (sqrt +nan.0))) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) alpha))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))))))))))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (/ 1 alpha) (- +nan.0))) (* +nan.0 (/ (- (/ 1 alpha) 1) (sqrt +nan.0)))) (+ (* (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (/ (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) alpha))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))))))))))) (* +nan.0 (/ (- (/ 1 alpha) 1) (sqrt +nan.0))))))) into (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 alpha) 1) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* -1 0)) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (* (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (* 1 (sqrt +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 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 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 1) (* 0 0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 -1) (* -1 1)) into -2
* [misc]backup-simplify:  Simplify (+ (* 1 (sqrt +nan.0)) (* -2 0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (- (/ 1 alpha) 1)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 2) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) 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 1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 -1) (* -1 1)) into -2
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* -2 0)) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (sqrt +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt +nan.0)) into (* +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt +nan.0)) into (* +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (sqrt +nan.0)) 0) into (- (* +nan.0 (/ 1 (sqrt +nan.0))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 (sqrt +nan.0))))) into (- (* +nan.0 (/ 1 (sqrt +nan.0))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqrt +nan.0)) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt +nan.0)) into (* +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt +nan.0)) into (* +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 alpha) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-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 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (- (/ 1 alpha) 1)) (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow alpha 3))))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 alpha) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 alpha)) (- +nan.0)))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))) (pow (* +nan.0 (/ (- (/ 1 alpha) +nan.0) (sqrt +nan.0))) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow alpha 2)))) (- +nan.0)))))))) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow alpha 3)))))))))) (sqrt +nan.0)) (+ (* (* +nan.0 (/ (- (/ 1 alpha) 1) (sqrt +nan.0))) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow alpha 2)))) (- +nan.0)))))))) (sqrt +nan.0))) (sqrt +nan.0))) (* (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) alpha))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))))))))))) (/ (* +nan.0 (/ (- (/ 1 alpha) +nan.0) (sqrt +nan.0))) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 5) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) alpha))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 5) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 5) alpha))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))) (* +nan.0 (/ (- (/ 1 alpha) 1) (sqrt +nan.0)))) (+ (* (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (/ (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 5) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) alpha))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 5) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 5) alpha))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow alpha 3)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))))))))))))))))))))))) (* +nan.0 (/ (- (/ 1 alpha) 1) (sqrt +nan.0))))) (* (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2)))))))))))))))))) (/ (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) alpha))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))))))))))) (* +nan.0 (/ (- (/ 1 alpha) 1) (sqrt +nan.0))))))) into (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 3))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) (pow alpha 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (* 1 (sqrt +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 3) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) 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 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 -1) (* -1 1)) into -2
* [misc]backup-simplify:  Simplify (+ (* 1 -2) (* -1 1)) into -3
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* -3 0)) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (pow (sqrt +nan.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (pow (sqrt +nan.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 2) (pow (sqrt +nan.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 (pow (sqrt +nan.0) 3)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 2)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) (pow alpha 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (* 1 (sqrt +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (sqrt +nan.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (sqrt +nan.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 3) (sqrt +nan.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (sqrt +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (sqrt +nan.0) 3) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow (sqrt +nan.0) 3) 1) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 (pow (sqrt +nan.0) 3)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (* 1 (sqrt +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (sqrt +nan.0) 3) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow (sqrt +nan.0) 3) 1) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 (pow (sqrt +nan.0) 3)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (sqrt +nan.0) 3) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 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 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* (pow (sqrt +nan.0) 3) 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 (pow (sqrt +nan.0) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt +nan.0) 3) 1) (* 0 0)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 -1) (* -1 1)) into -2
* [misc]backup-simplify:  Simplify (+ (* 1 -2) (* -1 1)) into -3
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (sqrt +nan.0) 3)) (* -3 0)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 2) (sqrt +nan.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (sqrt +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) (pow alpha 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (sqrt +nan.0) 3) (pow alpha 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow (sqrt +nan.0) 3) 1) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 (pow (sqrt +nan.0) 3)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (- (/ 1 alpha) 1) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (- (/ 1 alpha) 1) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* -1 0)) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in 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 (* (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (* 1 (sqrt +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) (pow alpha 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) (pow alpha 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 4) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (* 1 (sqrt +nan.0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (- (/ 1 alpha) 1))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (- (/ 1 alpha) 1)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 2) (pow alpha 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 3) (pow alpha 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (pow alpha 4) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 2) (* (pow (sqrt +nan.0) 3) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (sqrt +nan.0) 3) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 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 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* (pow (sqrt +nan.0) 3) 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 (pow (sqrt +nan.0) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt +nan.0) 3) 1) (* 0 0)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 -1) (* -1 1)) into -2
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (sqrt +nan.0) 3)) (* -2 0)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (pow (- (/ 1 alpha) 1) 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 2) (* (sqrt +nan.0) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 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 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 1) (* 0 0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 -1) (* -1 1)) into -2
* [misc]backup-simplify:  Simplify (+ (* 1 (sqrt +nan.0)) (* -2 0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (sqrt +nan.0) 3) (pow alpha 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow (sqrt +nan.0) 3) 1) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 (pow (sqrt +nan.0) 3)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 3) (* (pow (sqrt +nan.0) 3) (pow alpha 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (sqrt +nan.0) 3) (pow alpha 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (pow alpha 4) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (pow (sqrt +nan.0) 3) 1) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 (pow (sqrt +nan.0) 3)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt +nan.0) (* (pow (- (/ 1 alpha) 1) 2) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 2) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) 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 1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 -1) (* -1 1)) into -2
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* -2 0)) into 1
* [misc]backup-simplify:  Simplify (/ (sqrt +nan.0) 1) into (sqrt +nan.0)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 3) (* (sqrt +nan.0) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqrt +nan.0) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 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 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 1) (* 0 0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 -1) (* -1 1)) into -2
* [misc]backup-simplify:  Simplify (+ (* 1 -2) (* -1 1)) into -3
* [misc]backup-simplify:  Simplify (+ (* 1 (sqrt +nan.0)) (* -3 0)) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (- (/ 1 alpha) 1) 3) (pow (sqrt +nan.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (/ 1 alpha) 1) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (- (/ 1 alpha) 1) 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 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of (pow (sqrt +nan.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt +nan.0) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2)
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (* 1 (pow (sqrt +nan.0) 3)) into (pow (sqrt +nan.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (sqrt +nan.0) 3)) into (/ 1 (pow (sqrt +nan.0) 3))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 -1) (* -1 1)) into -2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* -2 (sqrt +nan.0))) into (- (* 2 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt +nan.0)) (/ (- (* 2 (sqrt +nan.0))) (sqrt +nan.0))))) into (* 2 (/ 1 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* 2 (/ 1 (sqrt +nan.0)))) (* 0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) into (/ +nan.0 (pow (sqrt +nan.0) 3))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 (pow (sqrt +nan.0) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt +nan.0) 3) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 -1) (* -1 1)) into -2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* -2 (pow (sqrt +nan.0) 3))) into (- (* 2 (pow (sqrt +nan.0) 3)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt +nan.0) 3)) (/ (- (* 2 (pow (sqrt +nan.0) 3))) (pow (sqrt +nan.0) 3))))) into (* 2 (/ 1 (pow (sqrt +nan.0) 3)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* 2 (/ 1 (pow (sqrt +nan.0) 3)))) (* 0 (/ 1 (pow (sqrt +nan.0) 3)))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt +nan.0)) into (* +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt +nan.0)) into (* +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 -1) (* -1 1)) into -2
* [misc]backup-simplify:  Simplify (+ (* 1 -2) (* -1 1)) into -3
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* -3 (sqrt +nan.0))) into (- (* 3 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqrt +nan.0)) (/ (- (* 3 (sqrt +nan.0))) (sqrt +nan.0))))) into (* 3 (/ 1 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* 3 (/ 1 (sqrt +nan.0)))) (* 0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 -1) (* -1 1)) into -2
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* -2 1)) into -2
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt +nan.0) (/ -2 1)))) into (* 2 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* 2 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt +nan.0)) into (* +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 -1) (* -1 1)) into -2
* [misc]backup-simplify:  Simplify (+ (* 1 -2) (* -1 1)) into -3
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* -3 1)) into -3
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqrt +nan.0) (/ -3 1)))) into (* 3 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* 3 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) into (/ +nan.0 (pow (sqrt +nan.0) 3))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 (sqrt +nan.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* 0 (pow (sqrt +nan.0) 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (sqrt +nan.0) 3) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 -1) (* -1 1)) into -2
* [misc]backup-simplify:  Simplify (+ (* 1 -2) (* -1 1)) into -3
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* -3 (pow (sqrt +nan.0) 3))) into (- (* 3 (pow (sqrt +nan.0) 3)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (sqrt +nan.0) 3)) (/ (- (* 3 (pow (sqrt +nan.0) 3))) (pow (sqrt +nan.0) 3))))) into (* 3 (/ 1 (pow (sqrt +nan.0) 3)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* 3 (/ 1 (pow (sqrt +nan.0) 3)))) (* 0 (/ 1 (pow (sqrt +nan.0) 3)))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) 0) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (pow (sqrt +nan.0) 3)) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqrt +nan.0)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (sqrt +nan.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (sqrt +nan.0)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqrt +nan.0)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqrt +nan.0)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (pow (sqrt +nan.0) 3)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ +nan.0 (sqrt +nan.0)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0)))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))))) (pow (* 1 (/ 1 (- beta))) 2)) (+ (* (* +nan.0 (sqrt +nan.0)) (* (/ 1 (- alpha)) 1)) (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (sqrt +nan.0))))) (* 1 (/ 1 (- beta)))))) into (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow beta 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) alpha)) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow beta 2))) (- (+ (* +nan.0 (/ (sqrt +nan.0) beta)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow beta 2)))) (- (* +nan.0 (/ 1 (* beta (sqrt +nan.0)))))))))))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (log1p (expm1 (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 2 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (expm1 (log1p (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 3 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (hypot (sqrt (+ beta 1.0)) (sqrt (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (+ beta 1.0))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (+ 1.0 beta))
* [misc]simplify:  Simplified (2 1 2 2 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (hypot (sqrt (+ 1.0 beta)) (sqrt (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 4 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (pow (+ (+ beta 1.0) (fma beta alpha alpha)) 1/2) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 5 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (pow (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) 1) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 6 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (exp (log (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 7 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (log (exp (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 8 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 9 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (* (* (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 10 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta))))
* [misc]simplify:  Simplified (2 1 2 2 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 11 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 2 2 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 12 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (sqrt 1) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 2 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (* 1 (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 13 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (sqrt 1) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 2 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (* 1 (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 14 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (pow (+ beta 1.0) 3) (pow (fma beta alpha alpha) 3))) (sqrt (+ (* (+ beta 1.0) (+ beta 1.0)) (- (* (fma beta alpha alpha) (fma beta alpha alpha)) (* (+ beta 1.0) (fma beta alpha alpha)))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (+ beta 1.0) 3) (pow (fma beta alpha alpha) 3)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (+ 1.0 beta) (* (+ 1.0 beta) (+ 1.0 beta)) (pow (fma beta alpha alpha) 3)))
* [misc]simplify:  Simplified (2 1 2 2 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (/ (sqrt (fma (+ 1.0 beta) (* (+ 1.0 beta) (+ 1.0 beta)) (pow (fma beta alpha alpha) 3))) (sqrt (+ (* (+ beta 1.0) (+ beta 1.0)) (- (* (fma beta alpha alpha) (fma beta alpha alpha)) (* (+ beta 1.0) (fma beta alpha alpha)))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 15 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (/ (sqrt (- (* (+ beta 1.0) (+ beta 1.0)) (* (fma beta alpha alpha) (fma beta alpha alpha)))) (sqrt (- (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (- (* (+ beta 1.0) (+ beta 1.0)) (* (fma beta alpha alpha) (fma beta alpha alpha))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (305 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- (+ 1.0 beta) (fma alpha beta alpha)) (+ (fma alpha beta alpha) (+ 1.0 beta))))
* [misc]simplify:  Simplified (2 1 2 2 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (/ (sqrt (* (- (+ 1.0 beta) (fma alpha beta alpha)) (+ (fma alpha beta alpha) (+ 1.0 beta)))) (sqrt (- (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 16 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 17 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (fabs (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (98 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))
* [misc]simplify:  Simplified (2 1 2 2 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (fabs (sqrt (+ (+ 1.0 beta) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 18 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (* 1 (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 19 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (log1p (expm1 (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 20 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (expm1 (log1p (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 21 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (hypot (sqrt (+ 1.0 alpha)) (sqrt (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (+ 1.0 alpha))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (sqrt (+ alpha 1.0))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (hypot (sqrt (+ alpha 1.0)) (sqrt (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 22 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (pow (+ (+ 1.0 alpha) (fma beta alpha beta)) 1/2) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 23 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (pow (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) 1) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 24 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (exp (log (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 25 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (log (exp (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 26 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (* (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 27 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (cbrt (* (* (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 28 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (* (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (fma alpha beta 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (* (fabs (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 29 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (* (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (* (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 30 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (* (sqrt 1) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (* 1 (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 31 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (* (sqrt 1) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (* 1 (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 32 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (/ (sqrt (+ (pow (+ 1.0 alpha) 3) (pow (fma beta alpha beta) 3))) (sqrt (+ (* (+ 1.0 alpha) (+ 1.0 alpha)) (- (* (fma beta alpha beta) (fma beta alpha beta)) (* (+ 1.0 alpha) (fma beta alpha beta)))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (+ 1.0 alpha) 3) (pow (fma beta alpha beta) 3)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (208 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (+ alpha 1.0) (* (+ alpha 1.0) (+ alpha 1.0)) (pow (fma beta alpha beta) 3)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (/ (sqrt (fma (+ alpha 1.0) (* (+ alpha 1.0) (+ alpha 1.0)) (pow (fma beta alpha beta) 3))) (sqrt (+ (* (+ 1.0 alpha) (+ 1.0 alpha)) (- (* (fma beta alpha beta) (fma beta alpha beta)) (* (+ 1.0 alpha) (fma beta alpha beta)))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 33 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (/ (sqrt (- (* (+ 1.0 alpha) (+ 1.0 alpha)) (* (fma beta alpha beta) (fma beta alpha beta)))) (sqrt (- (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (- (* (+ 1.0 alpha) (+ 1.0 alpha)) (* (fma beta alpha beta) (fma beta alpha beta))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (287 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- (+ alpha 1.0) (fma alpha beta beta)) (+ (fma alpha beta beta) (+ alpha 1.0))))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (/ (sqrt (* (- (+ alpha 1.0) (fma alpha beta beta)) (+ (fma alpha beta beta) (+ alpha 1.0)))) (sqrt (- (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 34 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (* (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 35 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (fabs (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))
* [misc]simplify:  Simplified (2 2 1 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (fabs (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 36 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (* 1 (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 37 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (log1p (expm1 (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* * * * [misc]progress:  [ 38 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (expm1 (log1p (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* * * * [misc]progress:  [ 39 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (pow (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) 1)))>
* * * * [misc]progress:  [ 40 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (exp (- (- (log (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (log (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (log (+ (+ beta 2) alpha)) (log (sqrt (+ (+ beta 2) alpha))))))))>
* [enter]simplify:  Simplifying (- (- (log (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (log (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (log (+ (+ beta 2) alpha)) (log (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (202 enodes)
* * [misc]simplify:  iters left: 2 (345 enodes)
* [exit]simplify:  Simplified to (- (- (log (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (log (+ beta (+ alpha 2)))) (+ (log (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (log (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (exp (- (- (log (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (log (+ beta (+ alpha 2)))) (+ (log (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (log (sqrt (+ beta (+ alpha 2)))))))))
* * * * [misc]progress:  [ 41 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (exp (- (- (log (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (log (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (log (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* [enter]simplify:  Simplifying (- (- (log (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (log (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (log (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* * [misc]simplify:  iters left: 2 (373 enodes)
* [exit]simplify:  Simplified to (- (- (log (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (log (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (log (* (sqrt (+ beta (+ alpha 2))) (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (exp (- (- (log (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (log (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (log (* (sqrt (+ beta (+ alpha 2))) (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 42 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (exp (- (log (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (log (+ (+ beta 2) alpha)) (log (sqrt (+ (+ beta 2) alpha))))))))>
* [enter]simplify:  Simplifying (- (log (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (log (+ (+ beta 2) alpha)) (log (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (181 enodes)
* * [misc]simplify:  iters left: 2 (301 enodes)
* * [misc]simplify:  iters left: 1 (481 enodes)
* [exit]simplify:  Simplified to (- (log (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (+ (log (sqrt (+ (+ 2 alpha) beta))) (log (+ (+ 2 alpha) beta))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (exp (- (log (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (+ (log (sqrt (+ (+ 2 alpha) beta))) (log (+ (+ 2 alpha) beta)))))))
* * * * [misc]progress:  [ 43 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (exp (- (log (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (log (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* [enter]simplify:  Simplifying (- (log (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (log (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (206 enodes)
* * [misc]simplify:  iters left: 2 (337 enodes)
* [exit]simplify:  Simplified to (- (log (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (log (* (sqrt (+ beta (+ 2 alpha))) (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (exp (- (log (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (log (* (sqrt (+ beta (+ 2 alpha))) (+ beta (+ 2 alpha))))))))
* * * * [misc]progress:  [ 44 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (exp (log (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* * * * [misc]progress:  [ 45 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (log (exp (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* * * * [misc]progress:  [ 46 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (cbrt (/ (/ (* (* (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (* (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)) (* (* (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (* (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)) (* (* (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (406 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (+ (+ alpha 1.0) (fma beta alpha beta)) (+ (+ 2 alpha) (+ beta 1.0))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (* (sqrt (+ alpha (+ beta 2))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (cbrt (* (/ (/ (+ (+ alpha 1.0) (fma beta alpha beta)) (+ (+ 2 alpha) (+ beta 1.0))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (* (sqrt (+ alpha (+ beta 2))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))))))))
* * * * [misc]progress:  [ 47 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (cbrt (/ (/ (* (* (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (* (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (* (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (273 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (* (sqrt (+ alpha (+ beta 2))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))))) (/ (/ (+ (+ alpha 1.0) (fma beta alpha beta)) (+ (+ 1.0 2) (+ alpha beta))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (cbrt (* (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (* (sqrt (+ alpha (+ beta 2))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))))) (/ (/ (+ (+ alpha 1.0) (fma beta alpha beta)) (+ (+ 1.0 2) (+ alpha beta))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))))))))
* * * * [misc]progress:  [ 48 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (cbrt (/ (* (* (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (* (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)) (* (* (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha))))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (* (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)) (* (* (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (368 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (/ (+ (+ alpha 1.0) (fma beta alpha beta)) (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (* (* (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha))) (sqrt (+ beta (+ 2 alpha)))) (* (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha))) (sqrt (+ (+ alpha beta) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (cbrt (/ (* (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (/ (+ (+ alpha 1.0) (fma beta alpha beta)) (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (* (* (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha))) (sqrt (+ beta (+ 2 alpha)))) (* (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha))) (sqrt (+ (+ alpha beta) (+ 1.0 2)))))))))
* * * * [misc]progress:  [ 49 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (cbrt (/ (* (* (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (* (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (* (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (234 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ alpha 1.0) (fma beta alpha beta)) (sqrt (+ (+ beta 1.0) (+ 2 alpha)))) (/ (sqrt (+ (+ beta 1.0) (+ 2 alpha))) (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))))) (* (* (* (+ 2 (+ alpha beta)) (+ 2 (+ alpha beta))) (sqrt (+ 2 (+ alpha beta)))) (* (* (+ 2 (+ alpha beta)) (+ 2 (+ alpha beta))) (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (cbrt (/ (/ (/ (+ (+ alpha 1.0) (fma beta alpha beta)) (sqrt (+ (+ beta 1.0) (+ 2 alpha)))) (/ (sqrt (+ (+ beta 1.0) (+ 2 alpha))) (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))))) (* (* (* (+ 2 (+ alpha beta)) (+ 2 (+ alpha beta))) (sqrt (+ 2 (+ alpha beta)))) (* (* (+ 2 (+ alpha beta)) (+ 2 (+ alpha beta))) (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))))))
* * * * [misc]progress:  [ 50 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (* (cbrt (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))) (cbrt (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))))) (cbrt (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* * * * [misc]progress:  [ 51 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (cbrt (* (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* * * * [misc]progress:  [ 52 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))) (sqrt (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))))>
* * * * [misc]progress:  [ 53 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (- (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (- (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))))))>
* * * * [misc]progress:  [ 54 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (* (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ (+ beta 2) (+ alpha 1.0))))) (+ (+ 2 alpha) beta)) (cbrt (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ (+ beta 2) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (* (/ (cbrt (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ (+ beta 2) (+ alpha 1.0))))) (+ (+ 2 alpha) beta)) (cbrt (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ (+ beta 2) (+ alpha 1.0)))))) (/ (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (sqrt (+ beta (+ 2 alpha))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (* (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (sqrt (+ beta (+ 2 alpha)))))))
* * * * [misc]progress:  [ 55 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (164 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (+ alpha (+ beta 2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (sqrt (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (+ alpha (+ beta 2))) (/ (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (sqrt (+ beta (+ 2 alpha))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (sqrt (+ beta (+ 2 alpha)))))))
* * * * [misc]progress:  [ 56 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (199 enodes)
* * [misc]simplify:  iters left: 2 (342 enodes)
* * [misc]simplify:  iters left: 1 (489 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (+ beta (+ 2 alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (* (/ (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (+ beta (+ 2 alpha))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 57 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (264 enodes)
* * [misc]simplify:  iters left: 1 (329 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (* (/ (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (+ alpha (+ beta 2)))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (* (/ (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (+ alpha (+ beta 2)))) (/ (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 58 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (256 enodes)
* * [misc]simplify:  iters left: 1 (323 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (+ (+ alpha beta) 2)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (* (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (+ (+ alpha beta) 2)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 59 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (215 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))) (+ (+ 2 alpha) beta))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))) (+ (+ 2 alpha) beta)) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))) (+ (+ 2 alpha) beta)) (/ (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 60 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (215 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))) (+ (+ 2 alpha) beta))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))) (+ (+ 2 alpha) beta)) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))) (+ (+ 2 alpha) beta)) (/ (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 61 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (256 enodes)
* * [misc]simplify:  iters left: 1 (323 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (+ (+ alpha beta) 2)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (* (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (+ (+ alpha beta) 2)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 62 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) 1) (+ (+ beta 2) alpha)) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) 1) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (284 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (/ (+ beta (+ 2 alpha)) (cbrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (cbrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (/ (+ beta (+ 2 alpha)) (cbrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))))) (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (cbrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (/ (+ beta (+ 2 alpha)) (cbrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))))) (/ (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 63 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (277 enodes)
* * [misc]simplify:  iters left: 1 (385 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (fma alpha beta beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (fabs (cbrt (+ (fma alpha beta beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (+ alpha (+ beta 2)))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (fabs (cbrt (+ (fma alpha beta beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (+ alpha (+ beta 2)))) (/ (sqrt (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 64 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (221 enodes)
* * [misc]simplify:  iters left: 1 (251 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (* (fabs (cbrt (+ (+ beta 2) (+ alpha 1.0)))) (+ beta (+ 2 alpha))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (* (fabs (cbrt (+ (+ beta 2) (+ alpha 1.0)))) (+ beta (+ 2 alpha)))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (* (fabs (cbrt (+ (+ beta 2) (+ alpha 1.0)))) (+ beta (+ 2 alpha)))) (/ (sqrt (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 65 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (244 enodes)
* * [misc]simplify:  iters left: 1 (274 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (+ beta (+ 2 alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (+ beta (+ 2 alpha))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (+ beta (+ 2 alpha))) (/ (sqrt (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 66 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (160 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ beta (+ 2 alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ beta (+ 2 alpha))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ beta (+ 2 alpha))) (/ (sqrt (cbrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 67 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (160 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ beta (+ 2 alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ beta (+ 2 alpha))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ beta (+ 2 alpha))) (/ (sqrt (cbrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 68 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (244 enodes)
* * [misc]simplify:  iters left: 1 (274 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (+ beta (+ 2 alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (+ beta (+ 2 alpha))) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (+ beta (+ 2 alpha))) (/ (sqrt (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 69 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) 1) (+ (+ beta 2) alpha)) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) 1) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (fabs (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (fabs (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 70 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (286 enodes)
* * [misc]simplify:  iters left: 1 (390 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (* (+ (+ beta 2) alpha) (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (* (+ (+ beta 2) alpha) (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 71 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (239 enodes)
* * [misc]simplify:  iters left: 1 (269 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2))))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2))))) (+ beta (+ alpha 2))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2))))) (+ beta (+ alpha 2))) (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 72 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* * [misc]simplify:  iters left: 1 (263 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 73 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha))) (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 74 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha))) (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 75 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* * [misc]simplify:  iters left: 1 (263 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 76 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) 1) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) 1) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ (+ alpha 2) beta)) (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 77 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (285 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha)))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha)))) (+ 2 (+ beta alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha)))) (+ 2 (+ beta alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 78 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ 2 alpha) beta)) (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (+ (+ 2 alpha) beta)) (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (cbrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (+ (+ 2 alpha) beta)) (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (cbrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 79 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 80 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt 1) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))
* * * * [misc]progress:  [ 81 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt 1) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))
* * * * [misc]progress:  [ 82 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 83 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt 1) 1) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) 1) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))
* * * * [misc]progress:  [ 84 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (285 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha)))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha)))) (+ 2 (+ beta alpha)))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha)))) (+ 2 (+ beta alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 85 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ 2 alpha) beta)) (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (+ (+ 2 alpha) beta)) (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (cbrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (+ (+ 2 alpha) beta)) (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (cbrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 86 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 87 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt 1) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))
* * * * [misc]progress:  [ 88 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt 1) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))
* * * * [misc]progress:  [ 89 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (161 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 90 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt 1) 1) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) 1) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))
* * * * [misc]progress:  [ 91 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (286 enodes)
* * [misc]simplify:  iters left: 1 (390 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (* (+ (+ beta 2) alpha) (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (* (+ (+ beta 2) alpha) (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 92 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (239 enodes)
* * [misc]simplify:  iters left: 1 (269 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2))))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2))))) (+ beta (+ alpha 2))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2))))) (+ beta (+ alpha 2))) (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 93 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* * [misc]simplify:  iters left: 1 (263 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 94 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha))) (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 95 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (+ beta (+ 2 alpha))) (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 96 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (233 enodes)
* * [misc]simplify:  iters left: 1 (263 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))))
* * * * [misc]progress:  [ 97 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) 1) (+ (+ beta 2) alpha)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) 1) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (+ (+ alpha 2) beta)) (/ (sqrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (* (sqrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* * * * [misc]progress:  [ 98 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (287 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha 2) beta)) (* (cbrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ beta 2) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (+ (+ alpha 2) beta)) (* (cbrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 99 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (140 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha 2) beta)) (fabs (cbrt (+ (+ beta 2) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (+ (+ alpha 2) beta)) (fabs (cbrt (+ (+ beta 2) (+ alpha 1.0))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (cbrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (+ (+ alpha 2) beta)) (fabs (cbrt (+ (+ beta 2) (+ alpha 1.0))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (cbrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 100 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (137 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 101 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))
* * * * [misc]progress:  [ 102 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (sqrt 1)) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (27 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))
* * * * [misc]progress:  [ 103 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (137 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (+ (+ beta alpha) 2)) (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))))
* * * * [misc]progress:  [ 104 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ 1 1) (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ alpha (+ 2 beta)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ 1 (+ alpha (+ 2 beta))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ 1 (+ alpha (+ 2 beta))) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))
* * * * [misc]progress:  [ 105 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ 1 (+ (+ beta 2) alpha)) (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (sqrt (+ beta (+ 2 alpha)))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))
* * * * [misc]progress:  [ 106 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ (+ beta 2) alpha)) (/ (/ 1 (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (+ (+ 2 alpha) beta))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (+ (+ 2 alpha) beta)) (/ (/ 1 (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ beta 2) (+ alpha 1.0)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (+ (+ beta 2) alpha)) (/ (/ 1 (sqrt (+ (+ beta 2) (+ alpha 1.0)))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 107 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (+ (pow beta 3) (pow 2 3)) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))) (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (+ (pow 1.0 3) (pow alpha 3)))))) (+ (+ beta 2) alpha)) (/ (sqrt (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (+ (pow beta 3) (pow 2 3)) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))) (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (+ (pow 1.0 3) (pow alpha 3)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (93 enodes)
* * [misc]simplify:  iters left: 4 (265 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ beta (+ 2 alpha))) (sqrt (fma (fma alpha (- alpha 1.0) (* 1.0 1.0)) (fma beta (* beta beta) 8) (* (fma alpha (* alpha alpha) (pow 1.0 3)) (fma (- 2 beta) 2 (* beta beta))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ beta (+ 2 alpha))) (sqrt (fma (fma alpha (- alpha 1.0) (* 1.0 1.0)) (fma beta (* beta beta) 8) (* (fma alpha (* alpha alpha) (pow 1.0 3)) (fma (- 2 beta) 2 (* beta beta)))))) (/ (sqrt (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (132 enodes)
* * [misc]simplify:  iters left: 3 (459 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (fma alpha (- alpha 1.0) (* 1.0 1.0)) (fma -2 beta (fma beta beta 4)))) (sqrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ beta (+ 2 alpha))) (sqrt (fma (fma alpha (- alpha 1.0) (* 1.0 1.0)) (fma beta (* beta beta) 8) (* (fma alpha (* alpha alpha) (pow 1.0 3)) (fma (- 2 beta) 2 (* beta beta)))))) (/ (sqrt (* (fma alpha (- alpha 1.0) (* 1.0 1.0)) (fma -2 beta (fma beta beta 4)))) (sqrt (+ alpha (+ beta 2)))))))
* * * * [misc]progress:  [ 108 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (+ (pow beta 3) (pow 2 3)) (- 1.0 alpha)) (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (- (* 1.0 1.0) (* alpha alpha)))))) (+ (+ beta 2) alpha)) (/ (sqrt (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (- 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (+ (pow beta 3) (pow 2 3)) (- 1.0 alpha)) (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (- (* 1.0 1.0) (* alpha alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (68 enodes)
* * [misc]simplify:  iters left: 4 (156 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ beta (+ 2 alpha))) (sqrt (fma (fma (- 2 beta) 2 (* beta beta)) (- (* 1.0 1.0) (* alpha alpha)) (* (fma beta (* beta beta) 8) (- 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ beta (+ 2 alpha))) (sqrt (fma (fma (- 2 beta) 2 (* beta beta)) (- (* 1.0 1.0) (* alpha alpha)) (* (fma beta (* beta beta) 8) (- 1.0 alpha))))) (/ (sqrt (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (- 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (- 1.0 alpha))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (- 1.0 alpha) (fma beta -2 (fma beta beta 4)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ beta (+ 2 alpha))) (sqrt (fma (fma (- 2 beta) 2 (* beta beta)) (- (* 1.0 1.0) (* alpha alpha)) (* (fma beta (* beta beta) 8) (- 1.0 alpha))))) (/ (sqrt (* (- 1.0 alpha) (fma beta -2 (fma beta beta 4)))) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 109 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (- (* beta beta) (* 2 2)) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))) (* (- beta 2) (+ (pow 1.0 3) (pow alpha 3)))))) (+ (+ beta 2) alpha)) (/ (sqrt (* (- beta 2) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (- (* beta beta) (* 2 2)) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))) (* (- beta 2) (+ (pow 1.0 3) (pow alpha 3)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (80 enodes)
* * [misc]simplify:  iters left: 4 (239 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ (+ alpha beta) 2)) (sqrt (fma (- beta 2) (fma (* alpha alpha) alpha (pow 1.0 3)) (* (fma beta beta -4) (fma (- alpha 1.0) alpha (* 1.0 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ (+ alpha beta) 2)) (sqrt (fma (- beta 2) (fma (* alpha alpha) alpha (pow 1.0 3)) (* (fma beta beta -4) (fma (- alpha 1.0) alpha (* 1.0 1.0)))))) (/ (sqrt (* (- beta 2) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (- beta 2) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (300 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (- beta 2) (fma alpha (- alpha 1.0) (* 1.0 1.0)))) (sqrt (+ 2 (+ alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ (+ alpha beta) 2)) (sqrt (fma (- beta 2) (fma (* alpha alpha) alpha (pow 1.0 3)) (* (fma beta beta -4) (fma (- alpha 1.0) alpha (* 1.0 1.0)))))) (/ (sqrt (* (- beta 2) (fma alpha (- alpha 1.0) (* 1.0 1.0)))) (sqrt (+ 2 (+ alpha beta)))))))
* * * * [misc]progress:  [ 110 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (- (* beta beta) (* 2 2)) (- 1.0 alpha)) (* (- beta 2) (- (* 1.0 1.0) (* alpha alpha)))))) (+ (+ beta 2) alpha)) (/ (sqrt (* (- beta 2) (- 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (- (* beta beta) (* 2 2)) (- 1.0 alpha)) (* (- beta 2) (- (* 1.0 1.0) (* alpha alpha)))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (134 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ beta (+ alpha 2))) (sqrt (fma (- beta 2) (* (- 1.0 alpha) (+ alpha 1.0)) (* (fma beta beta -4) (- 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ beta (+ alpha 2))) (sqrt (fma (- beta 2) (* (- 1.0 alpha) (+ alpha 1.0)) (* (fma beta beta -4) (- 1.0 alpha))))) (/ (sqrt (* (- beta 2) (- 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (* (- beta 2) (- 1.0 alpha))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* * [misc]simplify:  iters left: 1 (391 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (+ beta -2) (- 1.0 alpha))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (+ beta (+ alpha 2))) (sqrt (fma (- beta 2) (* (- 1.0 alpha) (+ alpha 1.0)) (* (fma beta beta -4) (- 1.0 alpha))))) (/ (sqrt (* (+ beta -2) (- 1.0 alpha))) (sqrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 111 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (pow (+ beta 2) 3) (pow (+ 1.0 alpha) 3)))) (+ (+ beta 2) alpha)) (/ (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* (+ 1.0 alpha) (+ 1.0 alpha)) (* (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (pow (+ beta 2) 3) (pow (+ 1.0 alpha) 3)))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (310 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (+ 2 (+ alpha beta))) (sqrt (fma (+ alpha 1.0) (* (+ alpha 1.0) (+ alpha 1.0)) (pow (+ beta 2) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))) (+ 2 (+ alpha beta))) (sqrt (fma (+ alpha 1.0) (* (+ alpha 1.0) (+ alpha 1.0)) (pow (+ beta 2) 3)))) (/ (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* (+ 1.0 alpha) (+ 1.0 alpha)) (* (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* (+ 1.0 alpha) (+ 1.0 alpha)) (* (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (178 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (- (+ alpha 1.0) (+ 2 beta)) (+ alpha 1.0) (* (+ 2 beta) (+ 2 beta)))) (sqrt (+ beta (+ 2 alpha))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (pow (+ beta 2) 3) (pow (+ 1.0 alpha) 3)))) (+ (+ beta 2) alpha)) (/ (sqrt (fma (- (+ alpha 1.0) (+ 2 beta)) (+ alpha 1.0) (* (+ 2 beta) (+ 2 beta)))) (sqrt (+ beta (+ 2 alpha)))))))
* * * * [misc]progress:  [ 112 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (- (* (+ beta 2) (+ beta 2)) (* (+ 1.0 alpha) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (sqrt (- (+ beta 2) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (- (* (+ beta 2) (+ beta 2)) (* (+ 1.0 alpha) (+ 1.0 alpha))))) (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (141 enodes)
* * [misc]simplify:  iters left: 3 (435 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (+ (+ alpha beta) 2)) (sqrt (- (* (+ beta 2) (+ beta 2)) (* (+ alpha 1.0) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (+ (+ alpha beta) 2)) (sqrt (- (* (+ beta 2) (+ beta 2)) (* (+ alpha 1.0) (+ alpha 1.0))))) (/ (sqrt (- (+ beta 2) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (+ beta 2) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (216 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (- beta 1.0) (- 2 alpha))) (sqrt (+ beta (+ 2 alpha))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (- (* (+ beta 2) (+ beta 2)) (* (+ 1.0 alpha) (+ 1.0 alpha))))) (+ (+ beta 2) alpha)) (/ (sqrt (+ (- beta 1.0) (- 2 alpha))) (sqrt (+ beta (+ 2 alpha)))))))
* * * * [misc]progress:  [ 113 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* 1 (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))))))>
* * * * [misc]progress:  [ 114 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (/ 1 (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha)))))))>
* * * * [misc]progress:  [ 115 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* * * * [misc]progress:  [ 116 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))))>
* [enter]simplify:  Simplifying (sqrt (+ (+ beta 2) alpha))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ alpha beta) 2))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (+ (+ beta 2) alpha)) (sqrt (+ (+ alpha beta) 2)))))
* * * * [misc]progress:  [ 117 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (* (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (170 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))) (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (cbrt (/ (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))) (sqrt (+ (+ 2 alpha) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (* (cbrt (/ (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))) (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (cbrt (/ (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))) (sqrt (+ (+ 2 alpha) (+ beta 1.0)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 118 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (147 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (sqrt (+ (+ beta 2) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (sqrt (+ (+ beta 2) (+ alpha 1.0))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 119 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (* (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 120 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))))) (fabs (cbrt (+ (+ beta 2) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (* (cbrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0))))) (fabs (cbrt (+ (+ beta 2) (+ alpha 1.0))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 121 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (/ (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))) (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (/ (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))) (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 122 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (* (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 123 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (* (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (cbrt (sqrt (+ (+ 1.0 beta) (fma alpha beta alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 124 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (/ (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))) (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (/ (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))) (cbrt (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 125 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) 1) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (* (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 126 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (161 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (* (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (* (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 127 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (fabs (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))) (fabs (cbrt (+ (+ alpha beta) (+ 1.0 2))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 128 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (160 enodes)
* * [misc]simplify:  iters left: 1 (180 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (fabs (cbrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 129 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 130 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 131 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (160 enodes)
* * [misc]simplify:  iters left: 1 (180 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (fabs (cbrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 132 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) 1) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ 1.0 beta) (fma alpha beta alpha))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (fabs (cbrt (+ (+ 1.0 beta) (fma alpha beta alpha)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 133 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 134 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (fabs (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (fabs (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 135 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 136 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 137 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 138 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 139 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) 1) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta 1.0) (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ beta alpha)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 140 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))) (cbrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ 1 (* (cbrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))) (cbrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 141 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ 1 (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 142 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ 1 (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 143 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt 1) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 144 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt 1) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 145 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ 1 (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 146 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt 1) 1) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) 1)
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 147 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))) (cbrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ 1 (* (cbrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))) (cbrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 148 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ 1 (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 149 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ 1 (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 150 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt 1) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 151 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt 1) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 152 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ 1 (sqrt (sqrt (+ (+ 2 alpha) (+ 1.0 beta))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 153 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt 1) 1) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) 1)
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 154 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (cbrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 155 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (fabs (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (fabs (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 156 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 157 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 158 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 159 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (fma alpha beta alpha) (+ beta 1.0)))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 160 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) 1) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (fma alpha beta 1.0) (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (fma alpha beta 1.0) (+ beta alpha)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 161 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ 1 (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ beta 2) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ 1 (* (cbrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))) (cbrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 162 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ 1 (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ beta 2) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ 1 (fabs (cbrt (+ (+ beta 2) (+ alpha 1.0))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 163 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 164 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ 1 (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 165 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ 1 (sqrt 1)) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 166 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) (+ alpha 1.0))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 167 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ 1 1) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 168 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ 1 (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* * * * [misc]progress:  [ 169 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))))
* * * * [misc]progress:  [ 170 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (+ (pow beta 3) (pow 2 3)) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))) (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (+ (pow 1.0 3) (pow alpha 3)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (+ (pow beta 3) (pow 2 3)) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))) (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (+ (pow 1.0 3) (pow alpha 3))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (247 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (sqrt (fma (fma (- alpha 1.0) alpha (* 1.0 1.0)) (fma (* beta beta) beta 8) (* (fma alpha (* alpha alpha) (pow 1.0 3)) (fma (- 2 beta) 2 (* beta beta))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (sqrt (fma (fma (- alpha 1.0) alpha (* 1.0 1.0)) (fma (* beta beta) beta 8) (* (fma alpha (* alpha alpha) (pow 1.0 3)) (fma (- 2 beta) 2 (* beta beta)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))))))))
* * * * [misc]progress:  [ 171 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (+ (pow beta 3) (pow 2 3)) (- 1.0 alpha)) (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (- (* 1.0 1.0) (* alpha alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (- 1.0 alpha)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (+ (pow beta 3) (pow 2 3)) (- 1.0 alpha)) (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (- (* 1.0 1.0) (* alpha alpha))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* * [misc]simplify:  iters left: 3 (475 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (* (- 1.0 alpha) (fma (+ alpha 1.0) (fma beta -2 (fma beta beta 4)) (fma beta (* beta beta) 8)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (* (- 1.0 alpha) (fma (+ alpha 1.0) (fma beta -2 (fma beta beta 4)) (fma beta (* beta beta) 8))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (* (+ (* beta beta) (- (* 2 2) (* beta 2))) (- 1.0 alpha)))))))
* * * * [misc]progress:  [ 172 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (- (* beta beta) (* 2 2)) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))) (* (- beta 2) (+ (pow 1.0 3) (pow alpha 3)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (* (- beta 2) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (- (* beta beta) (* 2 2)) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))) (* (- beta 2) (+ (pow 1.0 3) (pow alpha 3))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (223 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (sqrt (fma (- beta 2) (fma (* alpha alpha) alpha (pow 1.0 3)) (* (fma beta beta -4) (fma alpha (- alpha 1.0) (* 1.0 1.0))))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ alpha 1.0) (fma beta alpha beta))) (sqrt (fma (- beta 2) (fma (* alpha alpha) alpha (pow 1.0 3)) (* (fma beta beta -4) (fma alpha (- alpha 1.0) (* 1.0 1.0)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (* (- beta 2) (+ (* 1.0 1.0) (- (* alpha alpha) (* 1.0 alpha)))))))))
* * * * [misc]progress:  [ 173 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (- (* beta beta) (* 2 2)) (- 1.0 alpha)) (* (- beta 2) (- (* 1.0 1.0) (* alpha alpha)))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (* (- beta 2) (- 1.0 alpha)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (* (- (* beta beta) (* 2 2)) (- 1.0 alpha)) (* (- beta 2) (- (* 1.0 1.0) (* alpha alpha))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* * [misc]simplify:  iters left: 3 (494 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (* (- 1.0 alpha) (fma (+ beta -2) (+ alpha 1.0) (fma beta beta -4)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (* (- 1.0 alpha) (fma (+ beta -2) (+ alpha 1.0) (fma beta beta -4))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (* (- beta 2) (- 1.0 alpha)))))))
* * * * [misc]progress:  [ 174 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (pow (+ beta 2) 3) (pow (+ 1.0 alpha) 3)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* (+ 1.0 alpha) (+ 1.0 alpha)) (* (+ beta 2) (+ 1.0 alpha)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (pow (+ beta 2) 3) (pow (+ 1.0 alpha) 3))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))) (sqrt (fma (* (+ beta 2) (+ beta 2)) (+ beta 2) (pow (+ alpha 1.0) 3))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))) (sqrt (fma (* (+ beta 2) (+ beta 2)) (+ beta 2) (pow (+ alpha 1.0) 3)))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* (+ 1.0 alpha) (+ 1.0 alpha)) (* (+ beta 2) (+ 1.0 alpha)))))))))
* * * * [misc]progress:  [ 175 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (- (* (+ beta 2) (+ beta 2)) (* (+ 1.0 alpha) (+ 1.0 alpha))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (- (+ beta 2) (+ 1.0 alpha)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (- (* (+ beta 2) (+ beta 2)) (* (+ 1.0 alpha) (+ 1.0 alpha)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* * [misc]simplify:  iters left: 3 (402 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (- (* (+ beta 2) (+ beta 2)) (* (+ alpha 1.0) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (sqrt (- (* (+ beta 2) (+ beta 2)) (* (+ alpha 1.0) (+ alpha 1.0))))) (/ (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (- (+ beta 2) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 176 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (pow (+ beta 2) 3) (pow alpha 3)) (sqrt (+ (pow (+ beta 2) 3) (pow alpha 3))))) (* (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha))) (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha))))))))>
* [enter]simplify:  Simplifying (* (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha))) (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (300 enodes)
* [exit]simplify:  Simplified to (* (sqrt (- (fma (+ 2 beta) (+ 2 beta) (* alpha alpha)) (* alpha (+ 2 beta)))) (- (fma (+ 2 beta) (+ 2 beta) (* alpha alpha)) (* alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (pow (+ beta 2) 3) (pow alpha 3)) (sqrt (+ (pow (+ beta 2) 3) (pow alpha 3))))) (* (sqrt (- (fma (+ 2 beta) (+ 2 beta) (* alpha alpha)) (* alpha (+ 2 beta)))) (- (fma (+ 2 beta) (+ 2 beta) (* alpha alpha)) (* alpha (+ 2 beta)))))))
* * * * [misc]progress:  [ 177 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (pow (+ beta 2) 3) (pow alpha 3)) (sqrt (- (* (+ beta 2) (+ beta 2)) (* alpha alpha))))) (* (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha))) (sqrt (- (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (* (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha))) (sqrt (- (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (322 enodes)
* [exit]simplify:  Simplified to (* (fma alpha (- (- alpha beta) 2) (* (+ 2 beta) (+ 2 beta))) (sqrt (+ (- 2 alpha) beta)))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (pow (+ beta 2) 3) (pow alpha 3)) (sqrt (- (* (+ beta 2) (+ beta 2)) (* alpha alpha))))) (* (fma alpha (- (- alpha beta) 2) (* (+ 2 beta) (+ 2 beta))) (sqrt (+ (- 2 alpha) beta))))))
* * * * [misc]progress:  [ 178 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (- (* (+ beta 2) (+ beta 2)) (* alpha alpha)) (sqrt (+ (pow (+ beta 2) 3) (pow alpha 3))))) (* (- (+ beta 2) alpha) (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha))))))))>
* [enter]simplify:  Simplifying (* (- (+ beta 2) alpha) (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (304 enodes)
* [exit]simplify:  Simplified to (* (+ (- 2 alpha) beta) (sqrt (fma (- alpha (+ 2 beta)) alpha (* (+ 2 beta) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (- (* (+ beta 2) (+ beta 2)) (* alpha alpha)) (sqrt (+ (pow (+ beta 2) 3) (pow alpha 3))))) (* (+ (- 2 alpha) beta) (sqrt (fma (- alpha (+ 2 beta)) alpha (* (+ 2 beta) (+ 2 beta))))))))
* * * * [misc]progress:  [ 179 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (- (* (+ beta 2) (+ beta 2)) (* alpha alpha)) (sqrt (- (* (+ beta 2) (+ beta 2)) (* alpha alpha))))) (* (- (+ beta 2) alpha) (sqrt (- (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (* (- (+ beta 2) alpha) (sqrt (- (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (- 2 (- alpha beta)) (sqrt (- 2 (- alpha beta))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (- (* (+ beta 2) (+ beta 2)) (* alpha alpha)) (sqrt (- (* (+ beta 2) (+ beta 2)) (* alpha alpha))))) (* (- 2 (- alpha beta)) (sqrt (- 2 (- alpha beta)))))))
* * * * [misc]progress:  [ 180 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (pow (+ beta 2) 3) (pow alpha 3))))) (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (252 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (+ 2 beta) (+ (- alpha) (+ 2 beta)) (* alpha alpha)))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (pow (+ beta 2) 3) (pow alpha 3))))) (sqrt (fma (+ 2 beta) (+ (- alpha) (+ 2 beta)) (* alpha alpha))))))
* * * * [misc]progress:  [ 181 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (- (* (+ beta 2) (+ beta 2)) (* alpha alpha))))) (sqrt (- (+ beta 2) alpha)))))>
* [enter]simplify:  Simplifying (sqrt (- (+ beta 2) alpha))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (- beta alpha) 2))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (- (* (+ beta 2) (+ beta 2)) (* alpha alpha))))) (sqrt (+ (- beta alpha) 2)))))
* * * * [misc]progress:  [ 182 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (pow (+ beta 2) 3) (pow alpha 3)) (sqrt (+ (+ beta 2) alpha)))) (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (256 enodes)
* [exit]simplify:  Simplified to (fma (+ 2 beta) (+ (- alpha) (+ 2 beta)) (* alpha alpha))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (pow (+ beta 2) 3) (pow alpha 3)) (sqrt (+ (+ beta 2) alpha)))) (fma (+ 2 beta) (+ (- alpha) (+ 2 beta)) (* alpha alpha)))))
* * * * [misc]progress:  [ 183 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (- (* (+ beta 2) (+ beta 2)) (* alpha alpha)) (sqrt (+ (+ beta 2) alpha)))) (- (+ beta 2) alpha))))>
* [enter]simplify:  Simplifying (- (+ beta 2) alpha)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (+ (- 2 alpha) beta)
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (- (* (+ beta 2) (+ beta 2)) (* alpha alpha)) (sqrt (+ (+ beta 2) alpha)))) (+ (- 2 alpha) beta))))
* * * * [misc]progress:  [ 184 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (* (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))
* [misc]simplify:  Simplified (2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))) (* (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 185 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (log1p (expm1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 186 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (expm1 (log1p (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 187 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (pow (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) 1)) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 188 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (exp (- (log (sqrt (+ (+ beta 2) alpha))) (- (log (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (log (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (- (log (sqrt (+ (+ beta 2) alpha))) (- (log (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (log (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (207 enodes)
* * [misc]simplify:  iters left: 1 (247 enodes)
* [exit]simplify:  Simplified to (+ (- (log (sqrt (+ alpha (+ 2 beta)))) (log (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (log (sqrt (sqrt (+ (+ 2 beta) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (exp (+ (- (log (sqrt (+ alpha (+ 2 beta)))) (log (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (log (sqrt (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 189 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (exp (- (log (sqrt (+ (+ beta 2) alpha))) (log (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (- (log (sqrt (+ (+ beta 2) alpha))) (log (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (220 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (- (log (sqrt (+ alpha (+ 2 beta)))) (log (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (exp (+ (log (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (- (log (sqrt (+ alpha (+ 2 beta)))) (log (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 190 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (exp (log (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 191 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (log (exp (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 192 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (/ (* (* (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha))) (/ (* (* (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (* (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (* (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha))) (/ (* (* (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (* (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (190 enodes)
* [exit]simplify:  Simplified to (* (/ (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ beta 1.0) (+ 2 alpha)))) (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (/ (+ alpha (+ 2 beta)) (+ (fma beta alpha alpha) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (* (/ (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ beta 1.0) (+ 2 alpha)))) (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (/ (+ alpha (+ 2 beta)) (+ (fma beta alpha alpha) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 193 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (/ (* (* (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha))) (* (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (* (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha))) (* (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (158 enodes)
* * [misc]simplify:  iters left: 3 (400 enodes)
* [exit]simplify:  Simplified to (* (* (/ (sqrt (+ alpha (+ 2 beta))) (+ (+ alpha 1.0) (fma alpha beta beta))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (* (+ alpha (+ 2 beta)) (/ (sqrt (+ (+ 2 alpha) (+ beta 1.0))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (* (* (/ (sqrt (+ alpha (+ 2 beta))) (+ (+ alpha 1.0) (fma alpha beta beta))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (* (+ alpha (+ 2 beta)) (/ (sqrt (+ (+ 2 alpha) (+ beta 1.0))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 194 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (cbrt (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (cbrt (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 195 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (* (* (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 196 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (/ (+ (+ beta 2) alpha) (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (+ (+ beta 2) alpha) (/ (+ (+ beta 1.0) (fma beta alpha alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (192 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ (+ alpha beta) (+ 2 1.0))) (/ (+ alpha (+ 2 beta)) (+ (+ alpha beta) (fma beta alpha 1.0))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (* (sqrt (+ (+ alpha beta) (+ 2 1.0))) (/ (+ alpha (+ 2 beta)) (+ (+ alpha beta) (fma beta alpha 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 197 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (sqrt (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 198 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (- (sqrt (+ (+ beta 2) alpha))) (- (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 199 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (209 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (/ (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (/ (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (/ (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (/ (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 200 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))) (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))) (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 201 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (238 enodes)
* * [misc]simplify:  iters left: 2 (410 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))) (* (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))) (* (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 202 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (190 enodes)
* * [misc]simplify:  iters left: 2 (286 enodes)
* * [misc]simplify:  iters left: 1 (335 enodes)
* [exit]simplify:  Simplified to (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (fabs (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (fabs (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (fabs (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 203 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (190 enodes)
* * [misc]simplify:  iters left: 2 (286 enodes)
* * [misc]simplify:  iters left: 1 (335 enodes)
* [exit]simplify:  Simplified to (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (sqrt (fabs (cbrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (sqrt (fabs (cbrt (+ (+ alpha beta) (+ 2 1.0)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (sqrt (fabs (cbrt (+ (+ alpha beta) (+ 2 1.0)))))) (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 204 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (280 enodes)
* * [misc]simplify:  iters left: 1 (326 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 205 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (383 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 206 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (383 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 207 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (280 enodes)
* * [misc]simplify:  iters left: 1 (326 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 208 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (290 enodes)
* * [misc]simplify:  iters left: 1 (446 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))) (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 209 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (280 enodes)
* * [misc]simplify:  iters left: 1 (326 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 210 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1)) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (246 enodes)
* * [misc]simplify:  iters left: 1 (335 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))) (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 211 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (250 enodes)
* * [misc]simplify:  iters left: 1 (299 enodes)
* [exit]simplify:  Simplified to (* (* (/ (cbrt (sqrt (+ (+ alpha beta) 2))) (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (* (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (/ (cbrt (sqrt (+ (+ alpha beta) 2))) (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (* (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (/ (cbrt (sqrt (+ (+ alpha beta) 2))) (fabs (cbrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (* (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 212 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (203 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 213 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (203 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0)))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0)))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0)))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 214 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 215 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (155 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 216 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (155 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 217 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 218 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (177 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 219 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 220 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1)) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma alpha beta 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))))) (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 221 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* * [misc]simplify:  iters left: 2 (247 enodes)
* * [misc]simplify:  iters left: 1 (293 enodes)
* [exit]simplify:  Simplified to (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))))) (* (cbrt (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (cbrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))))) (* (cbrt (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 222 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (150 enodes)
* * [misc]simplify:  iters left: 2 (203 enodes)
* * [misc]simplify:  iters left: 1 (229 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))) (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 223 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (150 enodes)
* * [misc]simplify:  iters left: 2 (203 enodes)
* * [misc]simplify:  iters left: 1 (229 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))) (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 224 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* * [misc]simplify:  iters left: 1 (227 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (sqrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 225 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 226 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 227 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* * [misc]simplify:  iters left: 1 (227 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (sqrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 228 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (153 enodes)
* * [misc]simplify:  iters left: 1 (171 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 229 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* * [misc]simplify:  iters left: 1 (227 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (sqrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 230 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1)) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (141 enodes)
* * [misc]simplify:  iters left: 1 (160 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 231 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (481 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 232 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (202 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 233 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (202 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha)))))) (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 234 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 235 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 236 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 237 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 238 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt 1))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 239 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 240 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) 1)) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 241 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (481 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 242 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (202 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 243 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (202 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha)))))) (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 244 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 245 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 246 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 247 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 248 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt 1))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 249 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 250 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) 1)) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 251 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* * [misc]simplify:  iters left: 2 (247 enodes)
* * [misc]simplify:  iters left: 1 (293 enodes)
* [exit]simplify:  Simplified to (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))))) (* (cbrt (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (cbrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))))) (* (cbrt (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 252 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (150 enodes)
* * [misc]simplify:  iters left: 2 (203 enodes)
* * [misc]simplify:  iters left: 1 (229 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))) (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 253 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (150 enodes)
* * [misc]simplify:  iters left: 2 (203 enodes)
* * [misc]simplify:  iters left: 1 (229 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))) (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 254 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* * [misc]simplify:  iters left: 1 (227 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (sqrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 255 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 256 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 257 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* * [misc]simplify:  iters left: 1 (227 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (sqrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 258 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (153 enodes)
* * [misc]simplify:  iters left: 1 (171 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 259 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* * [misc]simplify:  iters left: 1 (227 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (sqrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 260 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1)) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (141 enodes)
* * [misc]simplify:  iters left: 1 (160 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 261 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ 1 (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ 1 (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (242 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 262 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (311 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 263 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (311 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha)))))) (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 264 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (157 enodes)
* * [misc]simplify:  iters left: 1 (292 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 265 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt 1)))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 266 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt 1)))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 267 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (157 enodes)
* * [misc]simplify:  iters left: 1 (292 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 268 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt 1))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt 1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 269 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (157 enodes)
* * [misc]simplify:  iters left: 1 (292 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 270 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ 1 1)) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ 1 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 271 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) 1) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 272 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (144 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))) (cbrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))) (cbrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))) (cbrt (sqrt (+ beta (+ 2 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 273 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3))))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (99 enodes)
* * [misc]simplify:  iters left: 4 (278 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (sqrt (sqrt (fma (fma (* alpha alpha) alpha 8) (fma 1.0 (- 1.0 beta) (* beta beta)) (* (fma (* 1.0 1.0) 1.0 (pow beta 3)) (fma 2 (- 2 alpha) (* alpha alpha)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (sqrt (sqrt (fma (fma (* alpha alpha) alpha 8) (fma 1.0 (- 1.0 beta) (* beta beta)) (* (fma (* 1.0 1.0) 1.0 (pow beta 3)) (fma 2 (- 2 alpha) (* alpha alpha))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (134 enodes)
* * [misc]simplify:  iters left: 3 (462 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (fma alpha alpha (fma alpha -2 4)) (fma 1.0 (- 1.0 beta) (* beta beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (sqrt (sqrt (fma (fma (* alpha alpha) alpha 8) (fma 1.0 (- 1.0 beta) (* beta beta)) (* (fma (* 1.0 1.0) 1.0 (pow beta 3)) (fma 2 (- 2 alpha) (* alpha alpha))))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (fma alpha alpha (fma alpha -2 4)) (fma 1.0 (- 1.0 beta) (* beta beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 274 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0))))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (74 enodes)
* * [misc]simplify:  iters left: 4 (169 enodes)
* [exit]simplify:  Simplified to (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (fma (* (- beta 1.0) (+ beta 1.0)) (fma (- 2 alpha) 2 (* alpha alpha)) (* (fma (* alpha alpha) alpha 8) (- beta 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (fma (* (- beta 1.0) (+ beta 1.0)) (fma (- 2 alpha) 2 (* alpha alpha)) (* (fma (* alpha alpha) alpha 8) (- beta 1.0)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (fma alpha alpha (fma -2 alpha 4)) (- beta 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (sqrt (fma (* (- beta 1.0) (+ beta 1.0)) (fma (- 2 alpha) 2 (* alpha alpha)) (* (fma (* alpha alpha) alpha 8) (- beta 1.0)))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (fma alpha alpha (fma -2 alpha 4)) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 275 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3))))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (88 enodes)
* * [misc]simplify:  iters left: 4 (255 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (fma (fma alpha alpha -4) (fma (- 1.0 beta) 1.0 (* beta beta)) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (+ alpha -2))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (sqrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (fma (fma alpha alpha -4) (fma (- 1.0 beta) 1.0 (* beta beta)) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (+ alpha -2))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (sqrt (+ alpha (+ 2 beta))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (+ alpha -2) (fma 1.0 (- 1.0 beta) (* beta beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (fma (fma alpha alpha -4) (fma (- 1.0 beta) 1.0 (* beta beta)) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (+ alpha -2))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (cbrt (sqrt (+ alpha (+ 2 beta))))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (+ alpha -2) (fma 1.0 (- 1.0 beta) (* beta beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 276 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0))))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (61 enodes)
* * [misc]simplify:  iters left: 4 (147 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ beta (+ 2 alpha)))) (cbrt (sqrt (+ beta (+ 2 alpha))))) (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (sqrt (fma (* (+ beta 1.0) (- beta 1.0)) (+ -2 alpha) (* (fma alpha alpha -4) (- beta 1.0)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ beta (+ 2 alpha)))) (cbrt (sqrt (+ beta (+ 2 alpha))))) (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (sqrt (fma (* (+ beta 1.0) (- beta 1.0)) (+ -2 alpha) (* (fma alpha alpha -4) (- beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (- beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (423 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (- beta 1.0) (- alpha 2)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ beta (+ 2 alpha)))) (cbrt (sqrt (+ beta (+ 2 alpha))))) (/ (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))) (sqrt (sqrt (fma (* (+ beta 1.0) (- beta 1.0)) (+ -2 alpha) (* (fma alpha alpha -4) (- beta 1.0))))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (- beta 1.0) (- alpha 2))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 277 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (312 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))) (sqrt (sqrt (fma (* (+ 2 alpha) (+ 2 alpha)) (+ 2 alpha) (pow (+ beta 1.0) 3))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))) (sqrt (sqrt (fma (* (+ 2 alpha) (+ 2 alpha)) (+ 2 alpha) (pow (+ beta 1.0) 3)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (181 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (fma (- (+ beta 1.0) (+ 2 alpha)) (+ beta 1.0) (* (+ 2 alpha) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (fma (- (+ beta 1.0) (+ 2 alpha)) (+ beta 1.0) (* (+ 2 alpha) (+ 2 alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 278 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (- (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (155 enodes)
* * [misc]simplify:  iters left: 3 (439 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (+ (+ 2 alpha) (+ beta 1.0)) (- (+ 2 alpha) (+ beta 1.0))))) (/ (/ (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (* (+ (+ 2 alpha) (+ beta 1.0)) (- (+ 2 alpha) (+ beta 1.0))))) (/ (/ (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (cbrt (sqrt (+ alpha (+ 2 beta)))))) (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (- (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (- (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (241 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (- alpha beta) (- 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (- alpha beta) (- 2 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 279 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))))) (cbrt (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))))) (cbrt (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (cbrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))))) (cbrt (/ (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (cbrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 280 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))) (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 281 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (176 enodes)
* * [misc]simplify:  iters left: 2 (247 enodes)
* * [misc]simplify:  iters left: 1 (290 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (cbrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (cbrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (cbrt (sqrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 282 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (220 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))))) (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 283 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (220 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))))) (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 284 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (220 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (sqrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (sqrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (sqrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 285 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (237 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 286 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (237 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 287 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (220 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (sqrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (sqrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (sqrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 288 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (236 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))) (cbrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))) (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 289 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (220 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (sqrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (sqrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (sqrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 290 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1)) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 291 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (194 enodes)
* * [misc]simplify:  iters left: 1 (213 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 292 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (136 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))))) (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 293 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (136 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (189 enodes)
* [exit]simplify:  Simplified to (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta)))))) (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 294 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 295 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (145 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 296 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (145 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 297 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 298 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (148 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma alpha beta 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma alpha beta 1.0) (+ alpha beta))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma alpha beta 1.0) (+ alpha beta))))) (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 299 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 300 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1)) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta))))) (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 301 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (194 enodes)
* * [misc]simplify:  iters left: 1 (216 enodes)
* [exit]simplify:  Simplified to (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (* (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (* (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (* (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 302 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (197 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 303 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (197 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 304 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 305 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 306 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 307 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 308 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (157 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))) (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 309 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 310 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1)) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 311 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))) (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 312 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ alpha (+ 2 beta))))) (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 313 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha)))))) (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 314 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 315 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 316 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 317 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 318 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt 1))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 319 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 320 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) 1)) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 321 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))) (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 322 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ alpha (+ 2 beta))))) (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 323 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha)))))) (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 324 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 325 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 326 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 327 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 328 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt 1))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 329 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 330 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) 1)) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt 1) 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 331 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (194 enodes)
* * [misc]simplify:  iters left: 1 (216 enodes)
* [exit]simplify:  Simplified to (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (* (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (* (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (* (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 332 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (197 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 333 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (197 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))))) (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 334 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 335 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 336 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ 1.0 alpha))))) (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 337 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 338 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (157 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))) (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 339 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (fabs (cbrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta 1.0) (+ alpha beta)))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 340 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1)) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (* (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 341 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ 1 (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ 1 (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (147 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))) (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 342 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (fabs (cbrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 343 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 344 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 345 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt 1)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 346 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt 1)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 347 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 348 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt 1))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt 1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 349 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (* (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 350 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ 1 1)) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ 1 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 351 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) 1) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (cbrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 352 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha beta) (fma alpha beta 1.0))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))) (sqrt (cbrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha beta) (fma alpha beta 1.0)))) (* (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))) (sqrt (cbrt (+ beta (+ 2 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 353 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3))))))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (273 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (fma (fma alpha (* alpha alpha) 8) (fma (- 1.0 beta) 1.0 (* beta beta)) (* (fma (* 1.0 1.0) 1.0 (pow beta 3)) (fma (- 2 alpha) 2 (* alpha alpha)))))) (/ (fabs (cbrt (+ (+ alpha beta) 2))) (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (fma (fma alpha (* alpha alpha) 8) (fma (- 1.0 beta) 1.0 (* beta beta)) (* (fma (* 1.0 1.0) 1.0 (pow beta 3)) (fma (- 2 alpha) 2 (* alpha alpha)))))) (/ (fabs (cbrt (+ (+ alpha beta) 2))) (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (134 enodes)
* * [misc]simplify:  iters left: 3 (462 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (fma alpha alpha (fma alpha -2 4)) (fma 1.0 (- 1.0 beta) (* beta beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (fma (fma alpha (* alpha alpha) 8) (fma (- 1.0 beta) 1.0 (* beta beta)) (* (fma (* 1.0 1.0) 1.0 (pow beta 3)) (fma (- 2 alpha) 2 (* alpha alpha)))))) (/ (fabs (cbrt (+ (+ alpha beta) 2))) (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (fma alpha alpha (fma alpha -2 4)) (fma 1.0 (- 1.0 beta) (* beta beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 354 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0))))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (73 enodes)
* * [misc]simplify:  iters left: 4 (164 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (fma (* (- beta 1.0) (+ beta 1.0)) (fma (- 2 alpha) 2 (* alpha alpha)) (* (fma alpha (* alpha alpha) 8) (- beta 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (fma (* (- beta 1.0) (+ beta 1.0)) (fma (- 2 alpha) 2 (* alpha alpha)) (* (fma alpha (* alpha alpha) 8) (- beta 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (fma alpha alpha (fma -2 alpha 4)) (- beta 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (fma (* (- beta 1.0) (+ beta 1.0)) (fma (- 2 alpha) 2 (* alpha alpha)) (* (fma alpha (* alpha alpha) 8) (- beta 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (fma beta alpha alpha) (+ beta 1.0))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (fma alpha alpha (fma -2 alpha 4)) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 355 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3))))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (87 enodes)
* * [misc]simplify:  iters left: 4 (250 enodes)
* [exit]simplify:  Simplified to (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (sqrt (sqrt (fma (fma alpha alpha -4) (fma 1.0 (- 1.0 beta) (* beta beta)) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (+ -2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (sqrt (sqrt (fma (fma alpha alpha -4) (fma 1.0 (- 1.0 beta) (* beta beta)) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (+ -2 alpha)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (+ alpha -2) (fma 1.0 (- 1.0 beta) (* beta beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (sqrt (sqrt (fma (fma alpha alpha -4) (fma 1.0 (- 1.0 beta) (* beta beta)) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (+ -2 alpha)))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (+ alpha -2) (fma 1.0 (- 1.0 beta) (* beta beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 356 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0))))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (142 enodes)
* [exit]simplify:  Simplified to (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (sqrt (sqrt (fma (* (+ beta 1.0) (- beta 1.0)) (+ -2 alpha) (* (fma alpha alpha -4) (- beta 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (sqrt (sqrt (fma (* (+ beta 1.0) (- beta 1.0)) (+ -2 alpha) (* (fma alpha alpha -4) (- beta 1.0)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (- beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (423 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (- beta 1.0) (- alpha 2)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (fma beta alpha alpha) (+ beta 1.0)))) (sqrt (sqrt (fma (* (+ beta 1.0) (- beta 1.0)) (+ -2 alpha) (* (fma alpha alpha -4) (- beta 1.0)))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (- beta 1.0) (- alpha 2))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 357 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (298 enodes)
* [exit]simplify:  Simplified to (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (fma (* (+ 2 alpha) (+ 2 alpha)) (+ 2 alpha) (pow (+ beta 1.0) 3)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (fma (* (+ 2 alpha) (+ 2 alpha)) (+ 2 alpha) (pow (+ beta 1.0) 3))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (fma (- (+ beta 1.0) (+ 2 alpha)) (+ beta 1.0) (* (+ 2 alpha) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (fma (* (+ 2 alpha) (+ 2 alpha)) (+ 2 alpha) (pow (+ beta 1.0) 3))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (fma (- (+ beta 1.0) (+ 2 alpha)) (+ beta 1.0) (* (+ 2 alpha) (+ 2 alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 358 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (- (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (423 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (- (* (+ 2 alpha) (+ 2 alpha)) (* (+ beta 1.0) (+ beta 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (- (* (+ 2 alpha) (+ 2 alpha)) (* (+ beta 1.0) (+ beta 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (- (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (- (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (241 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (- alpha beta) (- 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (- (* (+ 2 alpha) (+ 2 alpha)) (* (+ beta 1.0) (+ beta 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (cbrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (- alpha beta) (- 2 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 359 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (* (cbrt (/ (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))) (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (cbrt (/ (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))) (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (* (cbrt (/ (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))) (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (cbrt (/ (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))) (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 360 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 361 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (176 enodes)
* * [misc]simplify:  iters left: 2 (247 enodes)
* * [misc]simplify:  iters left: 1 (283 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 362 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (194 enodes)
* * [misc]simplify:  iters left: 1 (214 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 363 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (194 enodes)
* * [misc]simplify:  iters left: 1 (214 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 364 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 365 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (196 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 366 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (196 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 367 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 368 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (157 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 369 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 370 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1)) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (220 enodes)
* * [misc]simplify:  iters left: 1 (300 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 371 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* * [misc]simplify:  iters left: 1 (214 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (* (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (* (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (* (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 372 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (195 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))))) (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 373 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (195 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))))) (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 374 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 375 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (144 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 376 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (144 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 377 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 378 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (155 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 379 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 380 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1)) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (137 enodes)
* * [misc]simplify:  iters left: 1 (158 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 381 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (194 enodes)
* * [misc]simplify:  iters left: 1 (215 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) 2))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 382 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 383 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 384 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 385 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 386 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 387 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 388 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (155 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 389 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 390 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1)) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (135 enodes)
* * [misc]simplify:  iters left: 1 (157 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 391 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 392 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 393 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 394 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 395 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 396 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 397 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 398 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt 1))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt 1)))
* * [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 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 399 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 400 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 401 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 402 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 403 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 404 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 405 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 406 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 407 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 408 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt 1))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt 1)))
* * [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 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 409 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 410 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 411 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (194 enodes)
* * [misc]simplify:  iters left: 1 (215 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) 2))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 412 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 413 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 414 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 415 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 416 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 417 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 418 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (155 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 419 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 420 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1)) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (135 enodes)
* * [misc]simplify:  iters left: 1 (157 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 421 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ beta (+ 2 alpha)))) (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ beta (+ 2 alpha)))) (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ beta (+ 2 alpha)))) (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 422 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (sqrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (sqrt (sqrt (+ beta (+ 2 alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (sqrt (sqrt (+ beta (+ 2 alpha))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 423 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (sqrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (sqrt (sqrt (+ beta (+ 2 alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (sqrt (sqrt (+ beta (+ 2 alpha))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 424 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ beta (+ 2 alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ beta (+ 2 alpha))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 425 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 426 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 427 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ beta (+ 2 alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ beta (+ 2 alpha))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 428 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt 1))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt 1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 429 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ beta (+ 2 alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ beta (+ 2 alpha))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 430 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 1)) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ alpha beta) 2))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ alpha beta) 2))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 431 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) 1) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) 1)
* * [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 (24 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ beta (+ 2 alpha))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ beta (+ 2 alpha)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ beta (+ 2 alpha)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 432 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 433 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3))))))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (96 enodes)
* * [misc]simplify:  iters left: 4 (271 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (fma (fma alpha (* alpha alpha) 8) (fma 1.0 (- 1.0 beta) (* beta beta)) (* (fma (* beta beta) beta (pow 1.0 3)) (fma 2 (- 2 alpha) (* alpha alpha)))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (fma (fma alpha (* alpha alpha) 8) (fma 1.0 (- 1.0 beta) (* beta beta)) (* (fma (* beta beta) beta (pow 1.0 3)) (fma 2 (- 2 alpha) (* alpha alpha)))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (134 enodes)
* * [misc]simplify:  iters left: 3 (462 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (fma alpha alpha (fma alpha -2 4)) (fma 1.0 (- 1.0 beta) (* beta beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (fma (fma alpha (* alpha alpha) 8) (fma 1.0 (- 1.0 beta) (* beta beta)) (* (fma (* beta beta) beta (pow 1.0 3)) (fma 2 (- 2 alpha) (* alpha alpha)))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (fma alpha alpha (fma alpha -2 4)) (fma 1.0 (- 1.0 beta) (* beta beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 434 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0))))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (71 enodes)
* * [misc]simplify:  iters left: 4 (162 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (fma (fma (* alpha alpha) alpha 8) (- beta 1.0) (* (* (+ beta 1.0) (- beta 1.0)) (fma (- 2 alpha) 2 (* alpha alpha)))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (fma (fma (* alpha alpha) alpha 8) (- beta 1.0) (* (* (+ beta 1.0) (- beta 1.0)) (fma (- 2 alpha) 2 (* alpha alpha)))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (fma alpha alpha (fma -2 alpha 4)) (- beta 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (fma (fma (* alpha alpha) alpha 8) (- beta 1.0) (* (* (+ beta 1.0) (- beta 1.0)) (fma (- 2 alpha) 2 (* alpha alpha)))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (fma alpha alpha (fma -2 alpha 4)) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 435 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3))))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (248 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (fma (fma alpha alpha -4) (fma (- 1.0 beta) 1.0 (* beta beta)) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (+ alpha -2))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (fma (fma alpha alpha -4) (fma (- 1.0 beta) 1.0 (* beta beta)) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (+ alpha -2))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (+ alpha -2) (fma 1.0 (- 1.0 beta) (* beta beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (fma (fma alpha alpha -4) (fma (- 1.0 beta) 1.0 (* beta beta)) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (+ alpha -2))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (+ alpha -2) (fma 1.0 (- 1.0 beta) (* beta beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 436 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0))))))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (140 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (fma (+ alpha -2) (- (* beta beta) (* 1.0 1.0)) (* (- beta 1.0) (fma alpha alpha -4))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (fma (+ alpha -2) (- (* beta beta) (* 1.0 1.0)) (* (- beta 1.0) (fma alpha alpha -4)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (- beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (423 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (- beta 1.0) (- alpha 2)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (fma (+ alpha -2) (- (* beta beta) (* 1.0 1.0)) (* (- beta 1.0) (fma alpha alpha -4)))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (- beta 1.0) (- alpha 2))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 437 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (296 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (fma (* (+ beta 1.0) (+ beta 1.0)) (+ beta 1.0) (pow (+ 2 alpha) 3)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (fma (* (+ beta 1.0) (+ beta 1.0)) (+ beta 1.0) (pow (+ 2 alpha) 3))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (fma (- (+ beta 1.0) (+ 2 alpha)) (+ beta 1.0) (* (+ 2 alpha) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (fma (- (+ beta 1.0) (+ 2 alpha)) (+ beta 1.0) (* (+ 2 alpha) (+ 2 alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 438 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (- (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (148 enodes)
* * [misc]simplify:  iters left: 3 (422 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (- (* (+ 2 alpha) (+ 2 alpha)) (* (+ beta 1.0) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (- (* (+ 2 alpha) (+ 2 alpha)) (* (+ beta 1.0) (+ beta 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (- (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (- (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (241 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (- alpha beta) (- 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (- alpha beta) (- 2 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 439 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (160 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (* (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ beta (+ 2 alpha))) (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))) (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (* (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (cbrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (sqrt (+ beta (+ 2 alpha))) (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))) (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 440 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))) (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))) (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 441 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (160 enodes)
* * [misc]simplify:  iters left: 2 (298 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 442 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (219 enodes)
* * [misc]simplify:  iters left: 1 (271 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 443 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (248 enodes)
* * [misc]simplify:  iters left: 1 (401 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (cbrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (fabs (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (cbrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 444 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (150 enodes)
* * [misc]simplify:  iters left: 2 (247 enodes)
* * [misc]simplify:  iters left: 1 (380 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (* (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (* (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (* (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 445 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [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 (79 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* [exit]simplify:  Simplified to (* (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 446 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [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 (79 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* [exit]simplify:  Simplified to (* (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 447 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (150 enodes)
* * [misc]simplify:  iters left: 2 (247 enodes)
* * [misc]simplify:  iters left: 1 (380 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (* (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (* (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (* (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 448 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (* (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 449 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (150 enodes)
* * [misc]simplify:  iters left: 2 (247 enodes)
* * [misc]simplify:  iters left: 1 (380 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (* (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (* (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (* (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 450 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (247 enodes)
* [exit]simplify:  Simplified to (* (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha)))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 451 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (286 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (cbrt (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (fabs (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (cbrt (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (fabs (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (cbrt (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (fabs (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 452 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (191 enodes)
* * [misc]simplify:  iters left: 1 (227 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 453 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (191 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fabs (cbrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (fabs (cbrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (cbrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (fabs (cbrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (cbrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 454 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (180 enodes)
* * [misc]simplify:  iters left: 1 (218 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 455 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (139 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (fabs (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (fabs (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 456 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (139 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (fabs (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (fabs (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 457 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (180 enodes)
* * [misc]simplify:  iters left: 1 (218 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 458 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 459 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (180 enodes)
* * [misc]simplify:  iters left: 1 (218 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (fabs (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 460 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 461 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (287 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))) (sqrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (cbrt (sqrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))) (sqrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (cbrt (sqrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))) (sqrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (cbrt (sqrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha)))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 462 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (213 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 463 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (221 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fabs (cbrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (fabs (cbrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (cbrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (fabs (cbrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (cbrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 464 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (223 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 465 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 466 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 467 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (223 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 468 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 469 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (223 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 470 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 471 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (94 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 472 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 473 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* [exit]simplify:  Simplified to (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 474 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 475 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 476 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 477 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 478 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt 1))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt 1)))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 479 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 480 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt 1) 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt 1) 1))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 481 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (94 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 482 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 483 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* [exit]simplify:  Simplified to (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 484 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 485 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 486 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 487 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 488 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt 1))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt 1)))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 489 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 490 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt 1) 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt 1) 1))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 491 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (287 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))) (sqrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (cbrt (sqrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))) (sqrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (cbrt (sqrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))) (sqrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (cbrt (sqrt (sqrt (+ (+ 1.0 beta) (+ 2 alpha)))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 492 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (213 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 493 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (221 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fabs (cbrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (fabs (cbrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (cbrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (fabs (cbrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (cbrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 494 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (223 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 495 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 496 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 497 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (223 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 498 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 499 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (223 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 500 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 501 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ 1 (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ 1 (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 502 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ 1 (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ 1 (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 503 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ 1 (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ 1 (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* [exit]simplify:  Simplified to (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 504 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 505 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ 1 (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ 1 (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 506 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ 1 (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ 1 (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 507 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 508 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ 1 (sqrt 1))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ 1 (sqrt 1)))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 509 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 510 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ 1 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ 1 1))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (6 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 511 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) 1) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) 1)
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 512 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (123 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))) (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))) (* (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))) (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 513 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3))))))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (92 enodes)
* * [misc]simplify:  iters left: 4 (260 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (fma (fma (* alpha alpha) alpha 8) (fma 1.0 (- 1.0 beta) (* beta beta)) (* (fma 2 (- 2 alpha) (* alpha alpha)) (fma 1.0 (* 1.0 1.0) (pow beta 3)))))) (sqrt (+ (fma beta alpha alpha) (+ 1.0 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (fma (fma (* alpha alpha) alpha 8) (fma 1.0 (- 1.0 beta) (* beta beta)) (* (fma 2 (- 2 alpha) (* alpha alpha)) (fma 1.0 (* 1.0 1.0) (pow beta 3)))))) (sqrt (+ (fma beta alpha alpha) (+ 1.0 beta)))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (133 enodes)
* * [misc]simplify:  iters left: 3 (461 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 2 alpha) beta)) (sqrt (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (fma alpha alpha (fma alpha -2 4))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (fma (fma (* alpha alpha) alpha 8) (fma 1.0 (- 1.0 beta) (* beta beta)) (* (fma 2 (- 2 alpha) (* alpha alpha)) (fma 1.0 (* 1.0 1.0) (pow beta 3)))))) (sqrt (+ (fma beta alpha alpha) (+ 1.0 beta)))) (/ (sqrt (+ (+ 2 alpha) beta)) (sqrt (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (fma alpha alpha (fma alpha -2 4)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 514 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0))))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (151 enodes)
* * [misc]simplify:  iters left: 3 (497 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (fma (fma -2 alpha (fma alpha alpha 4)) (+ 1.0 beta) (fma alpha (* alpha alpha) 8)) (- beta 1.0)))) (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (* (fma (fma -2 alpha (fma alpha alpha 4)) (+ 1.0 beta) (fma alpha (* alpha alpha) 8)) (- beta 1.0)))) (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (* (- beta 1.0) (fma alpha alpha (fma -2 alpha 4))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (* (fma (fma -2 alpha (fma alpha alpha 4)) (+ 1.0 beta) (fma alpha (* alpha alpha) 8)) (- beta 1.0)))) (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (* (- beta 1.0) (fma alpha alpha (fma -2 alpha 4)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 515 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3))))))))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (81 enodes)
* * [misc]simplify:  iters left: 4 (239 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (fma (fma (* 1.0 1.0) 1.0 (pow beta 3)) (- alpha 2) (* (fma alpha alpha -4) (fma 1.0 (- 1.0 beta) (* beta beta)))))) (sqrt (+ (fma beta alpha alpha) (+ 1.0 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (fma (fma (* 1.0 1.0) 1.0 (pow beta 3)) (- alpha 2) (* (fma alpha alpha -4) (fma 1.0 (- 1.0 beta) (* beta beta)))))) (sqrt (+ (fma beta alpha alpha) (+ 1.0 beta)))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (304 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (+ alpha -2)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (fma (fma (* 1.0 1.0) 1.0 (pow beta 3)) (- alpha 2) (* (fma alpha alpha -4) (fma 1.0 (- 1.0 beta) (* beta beta)))))) (sqrt (+ (fma beta alpha alpha) (+ 1.0 beta)))) (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (+ alpha -2))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 516 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (- alpha 2) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0))))))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (134 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (fma (* (+ 1.0 beta) (- beta 1.0)) (- alpha 2) (* (- beta 1.0) (fma alpha alpha -4))))) (sqrt (+ (fma beta alpha alpha) (+ 1.0 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (fma (* (+ 1.0 beta) (- beta 1.0)) (- alpha 2) (* (- beta 1.0) (fma alpha alpha -4))))) (sqrt (+ (fma beta alpha alpha) (+ 1.0 beta)))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (- alpha 2) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (- alpha 2) (- beta 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (329 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (* (+ alpha -2) (- beta 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (fma (* (+ 1.0 beta) (- beta 1.0)) (- alpha 2) (* (- beta 1.0) (fma alpha alpha -4))))) (sqrt (+ (fma beta alpha alpha) (+ 1.0 beta)))) (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (* (+ alpha -2) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 517 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (291 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (fma (+ 1.0 beta) (* (+ 1.0 beta) (+ 1.0 beta)) (pow (+ alpha 2) 3)))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (fma (+ 1.0 beta) (* (+ 1.0 beta) (+ 1.0 beta)) (pow (+ alpha 2) 3)))) (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (180 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (sqrt (fma (+ beta 1.0) (- (+ beta 1.0) (+ 2 alpha)) (* (+ 2 alpha) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (sqrt (fma (+ beta 1.0) (- (+ beta 1.0) (+ 2 alpha)) (* (+ 2 alpha) (+ 2 alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 518 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt 1) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (- (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (139 enodes)
* * [misc]simplify:  iters left: 3 (413 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ 1.0 beta) (+ 1.0 beta))))) (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ 1.0 beta) (+ 1.0 beta))))) (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (- (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (- (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (212 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (sqrt (- (- 2 1.0) (- beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ 1.0 beta) (+ 1.0 beta))))) (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (sqrt (- (- 2 1.0) (- beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 519 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (* (cbrt (/ (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))) (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (cbrt (/ (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))) (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (* (cbrt (/ (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))) (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))) (cbrt (/ (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))) (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 520 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 521 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (176 enodes)
* * [misc]simplify:  iters left: 2 (247 enodes)
* * [misc]simplify:  iters left: 1 (283 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 1.0 2))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 522 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (194 enodes)
* * [misc]simplify:  iters left: 1 (214 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 523 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (194 enodes)
* * [misc]simplify:  iters left: 1 (214 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 524 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 525 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (196 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 526 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (196 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 527 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 528 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (157 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 529 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 530 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1)) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* * [misc]simplify:  iters left: 2 (220 enodes)
* * [misc]simplify:  iters left: 1 (300 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 531 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* * [misc]simplify:  iters left: 1 (214 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (* (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (* (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma alpha beta beta) (+ alpha 1.0))))) (* (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (cbrt (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 532 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (195 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))))) (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 533 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (195 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ alpha beta) (fma beta alpha 1.0)))))) (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 534 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 535 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (144 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 536 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (144 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 537 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 538 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (155 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 539 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (fabs (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 540 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1)) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (137 enodes)
* * [misc]simplify:  iters left: 1 (158 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (cbrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 541 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (194 enodes)
* * [misc]simplify:  iters left: 1 (215 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) 2))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 542 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 543 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 544 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 545 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 546 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 547 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 548 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (155 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 549 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 550 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1)) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (135 enodes)
* * [misc]simplify:  iters left: 1 (157 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 551 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 552 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 553 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 554 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 555 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 556 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 557 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 558 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt 1))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt 1)))
* * [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 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 559 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 560 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 561 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (sqrt (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (* (cbrt (sqrt (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (sqrt (sqrt (+ alpha (+ 2 beta)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 562 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ alpha beta)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 563 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ alpha beta)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 564 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 565 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 566 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 567 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 568 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt 1))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt 1)))
* * [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 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 569 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 570 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt 1) 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 571 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (194 enodes)
* * [misc]simplify:  iters left: 1 (215 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (* (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))) (/ (sqrt (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (+ (+ alpha beta) 2))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 572 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (* (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 573 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (133 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (fabs (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))) (* (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 574 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 575 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 576 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 577 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 578 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (155 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 579 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 580 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1)) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (135 enodes)
* * [misc]simplify:  iters left: 1 (157 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ (+ alpha 1.0) (fma alpha beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 581 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ beta (+ 2 alpha)))) (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ beta (+ 2 alpha)))) (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ beta (+ 2 alpha)))) (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 582 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (fabs (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (sqrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (sqrt (sqrt (+ beta (+ 2 alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (fabs (cbrt (sqrt (+ (+ 2 beta) (+ alpha 1.0))))) (sqrt (sqrt (+ beta (+ 2 alpha))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 583 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (sqrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (sqrt (sqrt (+ beta (+ 2 alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (fabs (cbrt (+ (+ 2 beta) (+ alpha 1.0))))) (sqrt (sqrt (+ beta (+ 2 alpha))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 584 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ beta (+ 2 alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ beta (+ 2 alpha))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 585 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 586 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 587 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ beta (+ 2 alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ beta (+ 2 alpha))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 588 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt 1))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt 1)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 589 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ beta (+ 2 alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))) (sqrt (sqrt (+ beta (+ 2 alpha))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha 1.0) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 590 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 1)) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ alpha beta) 2))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ alpha beta) 2))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 591 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) 1) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) 1)
* * [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 (24 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ beta (+ 2 alpha))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ beta (+ 2 alpha)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (+ beta (+ 2 alpha)))) (/ (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (fma beta alpha 1.0) (+ alpha beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 592 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 593 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3))))))))
* * [misc]simplify:  iters left: 6 (36 enodes)
* * [misc]simplify:  iters left: 5 (96 enodes)
* * [misc]simplify:  iters left: 4 (271 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (fma (fma alpha (* alpha alpha) 8) (fma 1.0 (- 1.0 beta) (* beta beta)) (* (fma (* beta beta) beta (pow 1.0 3)) (fma 2 (- 2 alpha) (* alpha alpha)))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (fma (fma alpha (* alpha alpha) 8) (fma 1.0 (- 1.0 beta) (* beta beta)) (* (fma (* beta beta) beta (pow 1.0 3)) (fma 2 (- 2 alpha) (* alpha alpha)))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (134 enodes)
* * [misc]simplify:  iters left: 3 (462 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (fma alpha alpha (fma alpha -2 4)) (fma 1.0 (- 1.0 beta) (* beta beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (fma (fma alpha (* alpha alpha) 8) (fma 1.0 (- 1.0 beta) (* beta beta)) (* (fma (* beta beta) beta (pow 1.0 3)) (fma 2 (- 2 alpha) (* alpha alpha)))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (fma alpha alpha (fma alpha -2 4)) (fma 1.0 (- 1.0 beta) (* beta beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 594 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0))))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (71 enodes)
* * [misc]simplify:  iters left: 4 (162 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (fma (fma (* alpha alpha) alpha 8) (- beta 1.0) (* (* (+ beta 1.0) (- beta 1.0)) (fma (- 2 alpha) 2 (* alpha alpha)))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (fma (fma (* alpha alpha) alpha 8) (- beta 1.0) (* (* (+ beta 1.0) (- beta 1.0)) (fma (- 2 alpha) 2 (* alpha alpha)))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (fma alpha alpha (fma -2 alpha 4)) (- beta 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (fma (fma (* alpha alpha) alpha 8) (- beta 1.0) (* (* (+ beta 1.0) (- beta 1.0)) (fma (- 2 alpha) 2 (* alpha alpha)))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (fma alpha alpha (fma -2 alpha 4)) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 595 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3))))))))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (248 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (fma (fma alpha alpha -4) (fma (- 1.0 beta) 1.0 (* beta beta)) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (+ alpha -2))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (fma (fma alpha alpha -4) (fma (- 1.0 beta) 1.0 (* beta beta)) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (+ alpha -2))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (+ alpha -2) (fma 1.0 (- 1.0 beta) (* beta beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (sqrt (sqrt (fma (fma alpha alpha -4) (fma (- 1.0 beta) 1.0 (* beta beta)) (* (fma 1.0 (* 1.0 1.0) (pow beta 3)) (+ alpha -2))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (+ alpha -2) (fma 1.0 (- 1.0 beta) (* beta beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 596 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0))))))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (140 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (fma (+ alpha -2) (- (* beta beta) (* 1.0 1.0)) (* (- beta 1.0) (fma alpha alpha -4))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (fma (+ alpha -2) (- (* beta beta) (* 1.0 1.0)) (* (- beta 1.0) (fma alpha alpha -4)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (* (- alpha 2) (- beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (423 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (- beta 1.0) (- alpha 2)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (fma (+ alpha -2) (- (* beta beta) (* 1.0 1.0)) (* (- beta 1.0) (fma alpha alpha -4)))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (* (- beta 1.0) (- alpha 2))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 597 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (296 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (fma (* (+ beta 1.0) (+ beta 1.0)) (+ beta 1.0) (pow (+ 2 alpha) 3)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (fma (* (+ beta 1.0) (+ beta 1.0)) (+ beta 1.0) (pow (+ 2 alpha) 3))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (fma (- (+ beta 1.0) (+ 2 alpha)) (+ beta 1.0) (* (+ 2 alpha) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (fma (- (+ beta 1.0) (+ 2 alpha)) (+ beta 1.0) (* (+ 2 alpha) (+ 2 alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 598 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (- (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (148 enodes)
* * [misc]simplify:  iters left: 3 (422 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (- (* (+ 2 alpha) (+ 2 alpha)) (* (+ beta 1.0) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ alpha beta) (fma beta alpha 1.0)))) (sqrt (sqrt (- (* (+ 2 alpha) (+ 2 alpha)) (* (+ beta 1.0) (+ beta 1.0)))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (- (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (- (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (159 enodes)
* * [misc]simplify:  iters left: 1 (241 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (- alpha beta) (- 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (- alpha beta) (- 2 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 599 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (/ (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))) (cbrt (/ (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (/ 1 (cbrt (/ (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))) (cbrt (/ (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))) (/ (sqrt (+ (+ beta 2) alpha)) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ beta (+ 2 alpha))) (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))) (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ beta (+ 2 alpha))) (cbrt (/ (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))) (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 600 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (177 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (/ (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (/ (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (186 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))) (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (/ (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))) (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 601 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (318 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 602 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (212 enodes)
* * [misc]simplify:  iters left: 1 (261 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 603 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (354 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (cbrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (cbrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 604 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* * [misc]simplify:  iters left: 1 (335 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 605 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (137 enodes)
* * [misc]simplify:  iters left: 1 (162 enodes)
* [exit]simplify:  Simplified to (* (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha)))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 606 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (137 enodes)
* * [misc]simplify:  iters left: 1 (162 enodes)
* [exit]simplify:  Simplified to (* (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha)))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 607 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* * [misc]simplify:  iters left: 1 (335 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 608 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (159 enodes)
* [exit]simplify:  Simplified to (* (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 609 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* * [misc]simplify:  iters left: 1 (335 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (* (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))) (cbrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 610 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (* (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))) (/ 1 (cbrt (sqrt (+ (fma beta alpha 1.0) (+ beta alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1)) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 611 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (212 enodes)
* * [misc]simplify:  iters left: 1 (268 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 612 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (210 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 613 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (215 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (cbrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (fabs (cbrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (cbrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 614 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (206 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ (+ beta alpha) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 615 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (fabs (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (fabs (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 616 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (fabs (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (fabs (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 617 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (206 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ (+ beta alpha) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 618 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ beta alpha) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (fabs (cbrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (fabs (cbrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 619 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (206 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ (+ beta alpha) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (fabs (cbrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (cbrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 620 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (fabs (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (fabs (cbrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (cbrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 621 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (284 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 622 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (208 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 623 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (212 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (cbrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (cbrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 624 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (212 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 625 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 626 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 627 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (212 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 628 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 629 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (212 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 630 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 631 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 632 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 633 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* [exit]simplify:  Simplified to (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 634 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 635 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 636 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 637 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 638 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt 1) (sqrt 1))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt 1) (sqrt 1)))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 639 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 640 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt 1) 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt 1) 1))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 641 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))) (cbrt (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 642 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 643 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* [exit]simplify:  Simplified to (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 644 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 645 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 646 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt 1) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 647 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 648 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt 1) (sqrt 1))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt 1) (sqrt 1)))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (6 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 649 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 650 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt 1) 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt 1) 1))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 651 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (284 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (/ (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (cbrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 652 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (208 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (fabs (cbrt (sqrt (+ (+ 2 1.0) (+ beta alpha))))) (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (cbrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 653 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (212 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (cbrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (fabs (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (cbrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 654 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (212 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 655 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 656 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (+ beta alpha) (fma beta alpha 1.0))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 657 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (212 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 658 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 659 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (212 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))))) (* (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))))) (sqrt (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 660 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (182 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))) (/ (* (sqrt (sqrt (+ (+ 2 beta) (+ alpha 1.0)))) (sqrt (+ alpha (+ 2 beta)))) (sqrt (sqrt (+ (fma alpha beta beta) (+ alpha 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 661 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ 1 (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ 1 (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (76 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 662 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ 1 (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ 1 (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (fabs (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 663 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ 1 (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ 1 (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* [exit]simplify:  Simplified to (sqrt (fabs (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (fabs (cbrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (fabs (cbrt (+ (+ alpha 2) (+ 1.0 beta))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 664 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 665 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ 1 (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ 1 (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 666 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ 1 (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ 1 (sqrt (sqrt 1))))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 667 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 668 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ 1 (sqrt 1))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ 1 (sqrt 1)))
* * [misc]simplify:  iters left: 5 (4 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 669 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))) (* (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 670 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ 1 1)) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ 1 1))
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 671 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 1) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (* (sqrt (sqrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (+ (+ beta 1.0) (fma alpha beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 672 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))) (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (sqrt (sqrt (+ (+ alpha 1.0) (+ 2 beta)))) (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 673 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3))))))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (91 enodes)
* * [misc]simplify:  iters left: 4 (259 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (fma (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma 2 (- 2 alpha) (* alpha alpha)) (* (fma alpha (* alpha alpha) 8) (fma 1.0 (- 1.0 beta) (* beta beta)))))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (fma (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma 2 (- 2 alpha) (* alpha alpha)) (* (fma alpha (* alpha alpha) 8) (fma 1.0 (- 1.0 beta) (* beta beta)))))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (133 enodes)
* * [misc]simplify:  iters left: 3 (461 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 2 alpha) beta)) (sqrt (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (fma alpha alpha (fma alpha -2 4))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (fma (fma 1.0 (* 1.0 1.0) (pow beta 3)) (fma 2 (- 2 alpha) (* alpha alpha)) (* (fma alpha (* alpha alpha) 8) (fma 1.0 (- 1.0 beta) (* beta beta)))))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (/ (sqrt (+ (+ 2 alpha) beta)) (sqrt (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (fma alpha alpha (fma alpha -2 4)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 674 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0))))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (66 enodes)
* * [misc]simplify:  iters left: 4 (150 enodes)
* * [misc]simplify:  iters left: 3 (495 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (fma (+ beta 1.0) (fma -2 alpha (fma alpha alpha 4)) (fma (* alpha alpha) alpha 8)) (- beta 1.0)))) (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (* (fma (+ beta 1.0) (fma -2 alpha (fma alpha alpha 4)) (fma (* alpha alpha) alpha 8)) (- beta 1.0)))) (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (* (- beta 1.0) (fma alpha alpha (fma -2 alpha 4))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (* (fma (+ beta 1.0) (fma -2 alpha (fma alpha alpha 4)) (fma (* alpha alpha) alpha 8)) (- beta 1.0)))) (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (* (- beta 1.0) (fma alpha alpha (fma -2 alpha 4)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 675 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3))))))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (80 enodes)
* * [misc]simplify:  iters left: 4 (238 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (fma (fma (* beta beta) beta (pow 1.0 3)) (+ -2 alpha) (* (fma alpha alpha -4) (fma (- 1.0 beta) 1.0 (* beta beta)))))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (fma (fma (* beta beta) beta (pow 1.0 3)) (+ -2 alpha) (* (fma alpha alpha -4) (fma (- 1.0 beta) 1.0 (* beta beta)))))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (304 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (+ alpha -2)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (fma (fma (* beta beta) beta (pow 1.0 3)) (+ -2 alpha) (* (fma alpha alpha -4) (fma (- 1.0 beta) 1.0 (* beta beta)))))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (+ alpha -2))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 676 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0)))))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (- alpha 2) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0))))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (133 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (fma (* (- beta 1.0) (+ beta 1.0)) (- alpha 2) (* (fma alpha alpha -4) (- beta 1.0))))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (fma (* (- beta 1.0) (+ beta 1.0)) (- alpha 2) (* (fma alpha alpha -4) (- beta 1.0))))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (- alpha 2) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (* (- alpha 2) (- beta 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (329 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (* (+ alpha -2) (- beta 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (fma (* (- beta 1.0) (+ beta 1.0)) (- alpha 2) (* (fma alpha alpha -4) (- beta 1.0))))) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (sqrt (sqrt (* (+ alpha -2) (- beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 677 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (289 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (fma (* (+ beta 1.0) (+ beta 1.0)) (+ beta 1.0) (pow (+ 2 alpha) 3)))) (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (fma (* (+ beta 1.0) (+ beta 1.0)) (+ beta 1.0) (pow (+ 2 alpha) 3)))) (sqrt (+ (fma beta alpha beta) (+ 1.0 alpha)))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (180 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (sqrt (fma (+ beta 1.0) (- (+ beta 1.0) (+ 2 alpha)) (* (+ 2 alpha) (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (sqrt (fma (+ beta 1.0) (- (+ beta 1.0) (+ 2 alpha)) (* (+ 2 alpha) (+ 2 alpha)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 678 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ 1 (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (- (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* * [misc]simplify:  iters left: 3 (421 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (- (* (+ 2 alpha) (+ 2 alpha)) (* (+ beta 1.0) (+ beta 1.0))))) (sqrt (+ (fma beta alpha 1.0) (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (- (* (+ 2 alpha) (+ 2 alpha)) (* (+ beta 1.0) (+ beta 1.0))))) (sqrt (+ (fma beta alpha 1.0) (+ beta alpha)))) (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (- (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (- (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (212 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (sqrt (- (- 2 1.0) (- beta alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (sqrt (- (* (+ 2 alpha) (+ 2 alpha)) (* (+ beta 1.0) (+ beta 1.0))))) (sqrt (+ (fma beta alpha 1.0) (+ beta alpha)))) (/ (sqrt (+ beta (+ 2 alpha))) (sqrt (sqrt (- (- 2 1.0) (- beta alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 679 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* 1 (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 680 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (+ (+ beta 2) alpha)) (/ 1 (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 681 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 682 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (* (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (cbrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 683 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (sqrt (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 684 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 685 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 686 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 687 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 688 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 689 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 690 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 691 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 692 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 693 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1)) (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1)) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 694 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 695 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 696 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 697 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 698 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 699 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt 1)))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 700 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 701 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt 1))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 702 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 703 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1)) (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (+ (+ beta 1.0) (fma beta alpha alpha))))) 1)) (/ (sqrt (cbrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 704 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 705 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 706 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 707 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 708 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 709 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 710 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 711 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 712 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 713 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1)) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 714 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 715 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 716 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 717 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 718 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 719 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 720 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 721 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt 1))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt 1))) (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 722 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 723 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) 1)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) 1)) (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 724 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 725 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 726 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 727 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 728 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 729 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt 1)))) (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 730 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 731 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt 1))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt 1))) (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 732 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 733 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) 1)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt 1) 1)) (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 734 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (cbrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 735 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (cbrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 736 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (cbrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 737 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 738 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 739 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt 1)))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 740 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 741 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt 1))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 742 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (169 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (sqrt (+ (+ 1.0 2) (+ alpha beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 743 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) 1)) (/ (sqrt (sqrt (+ (+ 1.0 alpha) (fma alpha beta beta)))) (sqrt (sqrt (+ (+ beta 2) (+ 1.0 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 744 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (* (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (cbrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 745 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (* (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (cbrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 746 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (sqrt (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (cbrt (+ (+ alpha 2) (+ 1.0 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 747 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 748 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (sqrt 1)))) (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 749 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (sqrt 1)))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (sqrt 1)))) (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 750 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 751 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt 1))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt 1))) (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 752 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (sqrt (+ (fma beta alpha 1.0) (+ alpha beta))) (sqrt (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 753 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 1)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ 1 1)) (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 754 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) 1) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) 1) (/ (sqrt (+ (+ alpha beta) (fma beta alpha 1.0))) (sqrt (sqrt (+ (+ alpha beta) (+ 2 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 755 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (82 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ 1.0 beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 756 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3)))))))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* * [misc]simplify:  iters left: 3 (446 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (fma alpha -2 (fma alpha alpha 4)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (+ (pow beta 3) (pow 1.0 3)))))))) (sqrt (sqrt (* (fma 1.0 (- 1.0 beta) (* beta beta)) (fma alpha -2 (fma alpha alpha 4))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 757 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0)))))))) (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- beta 1.0))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (- beta 1.0) (fma alpha alpha (fma alpha -2 4)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (+ (pow alpha 3) (pow 2 3)) (- beta 1.0)) (* (+ (* alpha alpha) (- (* 2 2) (* alpha 2))) (- (* beta beta) (* 1.0 1.0)))))))) (sqrt (sqrt (* (- beta 1.0) (fma alpha alpha (fma alpha -2 4))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 758 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3)))))))) (sqrt (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (- alpha 2) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (283 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (+ alpha -2) (fma 1.0 (- 1.0 beta) (* beta beta)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0)))) (* (- alpha 2) (+ (pow beta 3) (pow 1.0 3)))))))) (sqrt (sqrt (* (+ alpha -2) (fma 1.0 (- 1.0 beta) (* beta beta))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 759 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0)))))))) (sqrt (sqrt (* (- alpha 2) (- beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (* (- alpha 2) (- beta 1.0))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (381 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (* (+ -2 alpha) (- beta 1.0))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (* (- (* alpha alpha) (* 2 2)) (- beta 1.0)) (* (- alpha 2) (- (* beta beta) (* 1.0 1.0)))))))) (sqrt (sqrt (* (+ -2 alpha) (- beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 760 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))))) (sqrt (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0)))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (* (+ alpha 2) (+ alpha 2)) (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha 2) (+ beta 1.0))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (167 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (+ 1.0 beta) (- (+ 1.0 beta) (+ 2 alpha)) (* (+ 2 alpha) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (pow (+ alpha 2) 3) (pow (+ beta 1.0) 3)))))) (sqrt (sqrt (fma (+ 1.0 beta) (- (+ 1.0 beta) (+ 2 alpha)) (* (+ 2 alpha) (+ 2 alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 761 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))))) (sqrt (sqrt (- (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (- (+ alpha 2) (+ beta 1.0))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (223 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (- (- alpha 1.0) (+ beta -2))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (- (* (+ alpha 2) (+ alpha 2)) (* (+ beta 1.0) (+ beta 1.0))))))) (sqrt (sqrt (- (- alpha 1.0) (+ beta -2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 762 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ beta (+ 2 alpha)))) (cbrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (* (cbrt (sqrt (+ beta (+ 2 alpha)))) (cbrt (sqrt (+ beta (+ 2 alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (cbrt (sqrt (+ (+ beta 2) alpha)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 763 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (fabs (cbrt (+ alpha (+ 2 beta)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (cbrt (+ (+ beta 2) alpha)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 764 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 765 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt 1) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 766 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (+ beta 2) alpha)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (sqrt (+ alpha (+ 2 beta)))) (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (sqrt (+ (+ beta 2) alpha)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 767 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ 1 (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* * * * [misc]progress:  [ 768 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha))))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (* (/ (sqrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 1.0) (fma beta alpha alpha)))) (sqrt (sqrt (+ (+ beta 1.0) (+ 2 alpha)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 769 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (pow (+ beta 2) 3) (pow alpha 3))) (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (+ beta 2) 3) (pow alpha 3)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (380 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (+ 2 beta) (* (+ 2 beta) (+ 2 beta)) (pow alpha 3)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (fma (+ 2 beta) (* (+ 2 beta) (+ 2 beta)) (pow alpha 3))) (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (+ (* (+ beta 2) (+ beta 2)) (- (* alpha alpha) (* (+ beta 2) alpha))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 770 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (- (* (+ beta 2) (+ beta 2)) (* alpha alpha))) (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (- (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (sqrt (- (* (+ beta 2) (+ beta 2)) (* alpha alpha)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* (+ 2 beta) (+ 2 beta)) (* alpha alpha)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (- (* (+ 2 beta) (+ 2 beta)) (* alpha alpha))) (* (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (sqrt (- (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 771 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (+ (sqrt 1.0) (+ (* 1/2 (* (sqrt 1.0) beta)) (* 1/2 (/ alpha (sqrt 1.0))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (+ (sqrt 1.0) (+ (* 1/2 (* (sqrt 1.0) beta)) (* 1/2 (/ alpha (sqrt 1.0)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (fma (/ 1/2 (sqrt 1.0)) alpha (fma (sqrt 1.0) (* 1/2 beta) (sqrt 1.0)))
* [misc]simplify:  Simplified (2 1 2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (fma (/ 1/2 (sqrt 1.0)) alpha (fma (sqrt 1.0) (* 1/2 beta) (sqrt 1.0))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 772 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha)))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha))))))
* [misc]simplify:  Simplified (2 1 2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ +nan.0 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 773 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha)))))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha))))))
* [misc]simplify:  Simplified (2 1 2 2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ +nan.0 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 774 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (+ (sqrt 1.0) (+ (* 1/2 (/ beta (sqrt 1.0))) (* 1/2 (* (sqrt 1.0) alpha)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (+ (sqrt 1.0) (+ (* 1/2 (/ beta (sqrt 1.0))) (* 1/2 (* (sqrt 1.0) alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (fma (/ beta (sqrt 1.0)) 1/2 (fma (* alpha 1/2) (sqrt 1.0) (sqrt 1.0)))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (fma (/ beta (sqrt 1.0)) 1/2 (fma (* alpha 1/2) (sqrt 1.0) (sqrt 1.0))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 775 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (/ beta alpha)) (- +nan.0))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (/ beta alpha)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ +nan.0 (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 776 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (/ beta alpha)) (- +nan.0))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (/ beta alpha)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 2 1 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ +nan.0 (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 777 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (- (+ (* 1/2 (* (sqrt 0.041666666666666664) alpha)) (sqrt 0.041666666666666664)) (+ (* 3/2 (* (sqrt 0.010416666666666666) alpha)) (+ (* 1/2 (* (sqrt 0.004629629629629629) alpha)) (* 0.01736111111111111 (/ beta (sqrt 0.041666666666666664))))))))>
* [enter]simplify:  Simplifying (- (+ (* 1/2 (* (sqrt 0.041666666666666664) alpha)) (sqrt 0.041666666666666664)) (+ (* 3/2 (* (sqrt 0.010416666666666666) alpha)) (+ (* 1/2 (* (sqrt 0.004629629629629629) alpha)) (* 0.01736111111111111 (/ beta (sqrt 0.041666666666666664))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (127 enodes)
* * [misc]simplify:  iters left: 3 (327 enodes)
* [exit]simplify:  Simplified to (- (- (fma (* alpha 1/2) (sqrt 0.041666666666666664) (sqrt 0.041666666666666664)) (* (sqrt 0.004629629629629629) (* alpha 1/2))) (fma (* (sqrt 0.010416666666666666) 3/2) alpha (/ (* 0.01736111111111111 beta) (sqrt 0.041666666666666664))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (- (- (fma (* alpha 1/2) (sqrt 0.041666666666666664) (sqrt 0.041666666666666664)) (* (sqrt 0.004629629629629629) (* alpha 1/2))) (fma (* (sqrt 0.010416666666666666) 3/2) alpha (/ (* 0.01736111111111111 beta) (sqrt 0.041666666666666664))))))
* * * * [misc]progress:  [ 778 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) 0))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) 0))
* * * * [misc]progress:  [ 779 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) 0))>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) 0))
* * * * [misc]progress:  [ 780 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (- (+ (* 0.08333333333333333 (* (* (sqrt 2.0) alpha) (pow 3.0 1/4))) (+ (* 1/4 (* (* (sqrt 2.0) beta) (pow 0.037037037037037035 1/4))) (+ (* (sqrt 2.0) (pow 3.0 1/4)) (* 1/2 (* (pow 3.0 1/4) (* (sqrt 0.5) beta)))))) (+ (* 0.5 (* (/ alpha (sqrt 2.0)) (pow 3.0 1/4))) (* 1/2 (* (* (sqrt 2.0) beta) (pow 3.0 1/4)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (- (+ (* 0.08333333333333333 (* (* (sqrt 2.0) alpha) (pow 3.0 1/4))) (+ (* 1/4 (* (* (sqrt 2.0) beta) (pow 0.037037037037037035 1/4))) (+ (* (sqrt 2.0) (pow 3.0 1/4)) (* 1/2 (* (pow 3.0 1/4) (* (sqrt 0.5) beta)))))) (+ (* 0.5 (* (/ alpha (sqrt 2.0)) (pow 3.0 1/4))) (* 1/2 (* (* (sqrt 2.0) beta) (pow 3.0 1/4)))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (247 enodes)
* [exit]simplify:  Simplified to (+ (fma (* alpha (* (pow 3.0 1/4) (sqrt 2.0))) 0.08333333333333333 (fma (* (pow 0.037037037037037035 1/4) 1/4) (* (sqrt 2.0) beta) (* (pow 3.0 1/4) (sqrt 2.0)))) (* (pow 3.0 1/4) (- (* (sqrt 0.5) (* beta 1/2)) (fma 0.5 (/ alpha (sqrt 2.0)) (* (sqrt 2.0) (* beta 1/2))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (+ (fma (* alpha (* (pow 3.0 1/4) (sqrt 2.0))) 0.08333333333333333 (fma (* (pow 0.037037037037037035 1/4) 1/4) (* (sqrt 2.0) beta) (* (pow 3.0 1/4) (sqrt 2.0)))) (* (pow 3.0 1/4) (- (* (sqrt 0.5) (* beta 1/2)) (fma 0.5 (/ alpha (sqrt 2.0)) (* (sqrt 2.0) (* beta 1/2))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 781 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow beta 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) alpha)) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow beta 2))) (- (+ (* +nan.0 (/ (sqrt +nan.0) beta)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow beta 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) beta))))))))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow beta 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) alpha)) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow beta 2))) (- (+ (* +nan.0 (/ (sqrt +nan.0) beta)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow beta 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) beta))))))))))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) +nan.0) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 782 / 782 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow beta 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) alpha)) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow beta 2))) (- (+ (* +nan.0 (/ (sqrt +nan.0) beta)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow beta 2)))) (- (* +nan.0 (/ 1 (* beta (sqrt +nan.0)))))))))))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow beta 2)))) (- (+ (* +nan.0 (/ (sqrt +nan.0) alpha)) (- (+ (* +nan.0 (/ (sqrt +nan.0) (pow beta 2))) (- (+ (* +nan.0 (/ (sqrt +nan.0) beta)) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow beta 2)))) (- (* +nan.0 (/ 1 (* beta (sqrt +nan.0)))))))))))))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) +nan.0) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime:  Finding splitpoints for: (#<alt (λ (alpha beta) (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))> #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))> #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))> #<alt (λ (alpha beta) 0)> #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))> #<alt (λ (alpha beta) (/ (/ (fma (+ alpha beta) 0.25 0.5) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>)
* * * [misc]regime-changes:  Trying 2 branch expressions: (beta alpha)
* * * * [misc]regimes:  Trying to branch on beta from (#<alt (λ (alpha beta) (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))> #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))> #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))> #<alt (λ (alpha beta) 0)> #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))> #<alt (λ (alpha beta) (/ (/ (fma (+ alpha beta) 0.25 0.5) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>)
* * * * [misc]regimes:  Trying to branch on alpha from (#<alt (λ (alpha beta) (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))> #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))> #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))> #<alt (λ (alpha beta) 0)> #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))> #<alt (λ (alpha beta) (/ (/ (fma (+ alpha beta) 0.25 0.5) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>)
* * * [misc]regime:  Found split indices: #<option (#s(si 4 230) #s(si 3 256))>
* [misc]binary-search:  Improving bounds with binary search for beta and (#<alt (λ (alpha beta) (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))> #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))> #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))> #<alt (λ (alpha beta) 0)> #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))> #<alt (λ (alpha beta) (/ (/ (fma (+ alpha beta) 0.25 0.5) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>)
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* [misc]regimes:  Found splitpoints: (#s(sp 4 beta 1.0252309987819265e+196) #s(sp 3 beta +nan.0)) , with alts (#<alt (λ (alpha beta) (/ (/ (+ (fma beta alpha beta) (+ 1.0 alpha)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))> #<alt (λ (alpha beta) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (sqrt (+ (+ alpha 2) (+ beta 1.0))))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))> #<alt (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (fma beta alpha alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (+ (+ 1.0 alpha) (fma beta alpha beta))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))> #<alt (λ (alpha beta) 0)> #<alt (λ (alpha beta) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))> #<alt (λ (alpha beta) (/ (/ (fma (+ alpha beta) 0.25 0.5) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>)
* [enter]simplify:  Simplifying (if (<= beta 1.0252309987819265e+196) (/ (/ (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) 0)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* [exit]simplify:  Simplified to (if (<= beta 1.0252309987819265e+196) (/ (/ (* (/ 1 (+ (+ alpha beta) 2)) (+ 1.0 (+ (* alpha beta) (+ alpha beta)))) (+ (+ alpha beta) 2)) (+ 1.0 (+ (+ alpha beta) 2))) 0)
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8000 points with exact outputs