* [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 (102 enodes)
* * [misc]simplify:  iters left: 3 (439 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ (+ 2 beta) (+ 1.0 alpha))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))
* * [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 / 360 ] 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:  [ 2 / 360 ] 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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (- (log (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (log (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (exp (- (log (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (log (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 3 / 360 ] 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:  [ 4 / 360 ] 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:  [ 5 / 360 ] 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 (312 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (+ 2 beta) alpha)) 3)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (cbrt (pow (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (+ 2 beta) alpha)) 3)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 6 / 360 ] 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:  [ 7 / 360 ] 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:  [ 8 / 360 ] 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:  [ 9 / 360 ] 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:  [ 10 / 360 ] 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 (70 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (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 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 11 / 360 ] 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 (58 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (* alpha beta) (+ 1.0 (+ 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 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 12 / 360 ] 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 (51 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (155 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 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)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 13 / 360 ] 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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (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))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 14 / 360 ] 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 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta))) (/ (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 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 15 / 360 ] 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 (44 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (/ (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 (52 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 16 / 360 ] 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 (52 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (cbrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (cbrt (+ beta (+ alpha 2))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 17 / 360 ] 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 (52 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 18 / 360 ] 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 (51 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ 2 beta) alpha))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* 1 (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ 2 beta) alpha))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 19 / 360 ] 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:  [ 20 / 360 ] 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:  [ 21 / 360 ] 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:  [ 22 / 360 ] 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:  [ 23 / 360 ] 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:  [ 24 / 360 ] 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:  [ 25 / 360 ] 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 (40 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ 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:  [ 26 / 360 ] 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 (39 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (/ (+ (+ alpha beta) (* 2 1)) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 27 / 360 ] 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:  [ 28 / 360 ] 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 (30 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (261 enodes)
* [exit]simplify:  Simplified to (+ 4 (* (+ beta alpha) (- (+ beta alpha) 2)))
* [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))) (+ 4 (* (+ beta alpha) (- (+ beta alpha) 2)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 29 / 360 ] 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:  [ 30 / 360 ] 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 (59 enodes)
* * [misc]simplify:  iters left: 3 (361 enodes)
* [exit]simplify:  Simplified to (+ (pow 1.0 3) (pow (+ (* alpha beta) (+ beta alpha)) 3))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (+ (pow 1.0 3) (pow (+ (* alpha beta) (+ beta alpha)) 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:  [ 31 / 360 ] 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 (25 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (463 enodes)
* [exit]simplify:  Simplified to (- (* (+ (* alpha beta) (+ beta alpha)) (+ (* alpha beta) (+ beta alpha))) (* 1.0 1.0))
* [misc]simplify:  Simplified (2 1 1 1) to (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)))
* * * * [misc]progress:  [ 32 / 360 ] 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:  [ 33 / 360 ] 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 (103 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* * [misc]simplify:  iters left: 2 (399 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (log (+ (+ beta 1.0) (+ alpha 2)))) (+ (log (+ (+ beta 2) alpha)) (log (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (exp (- (- (log (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (log (+ (+ beta 1.0) (+ alpha 2)))) (+ (log (+ (+ beta 2) alpha)) (log (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 34 / 360 ] 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 (94 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (392 enodes)
* [exit]simplify:  Simplified to (- (log (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (+ (+ (log (+ 2 (+ beta alpha))) (log (+ 2 (+ beta alpha)))) (log (+ (+ 2 beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (exp (- (log (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (+ (+ (log (+ 2 (+ beta alpha))) (log (+ 2 (+ beta alpha)))) (log (+ (+ 2 beta) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 35 / 360 ] 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 (99 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (- (log (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (log (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (exp (- (log (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (log (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 36 / 360 ] 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:  [ 37 / 360 ] 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:  [ 38 / 360 ] 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 (/ (* (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ (+ 2 alpha) beta)) (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ (+ 2 alpha) beta))) (/ (* (pow (+ (+ 2 alpha) beta) 3) (pow (+ (+ 1.0 2) (+ beta alpha)) 3)) (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ (+ 2 alpha) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (cbrt (/ (* (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ (+ 2 alpha) beta)) (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ (+ 2 alpha) beta))) (/ (* (pow (+ (+ 2 alpha) beta) 3) (pow (+ (+ 1.0 2) (+ beta alpha)) 3)) (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ (+ 2 alpha) beta))))))
* * * * [misc]progress:  [ 39 / 360 ] 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 (449 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ beta (+ alpha 2))) (* (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ beta (+ alpha 2)) (+ (+ 1.0 alpha) (+ 2 beta))))) (* (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (cbrt (* (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ beta (+ alpha 2))) (* (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ beta (+ alpha 2)) (+ (+ 1.0 alpha) (+ 2 beta))))) (* (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))))))
* * * * [misc]progress:  [ 40 / 360 ] 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 (279 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (+ (+ 2 beta) (+ 1.0 alpha)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta))))) 3)
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (cbrt (pow (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (+ (+ 2 beta) (+ 1.0 alpha)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta))))) 3)))
* * * * [misc]progress:  [ 41 / 360 ] 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:  [ 42 / 360 ] 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:  [ 43 / 360 ] 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:  [ 44 / 360 ] 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:  [ 45 / 360 ] 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 (102 enodes)
* * [misc]simplify:  iters left: 3 (244 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (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 (85 enodes)
* * [misc]simplify:  iters left: 3 (224 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 46 / 360 ] 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 (90 enodes)
* * [misc]simplify:  iters left: 3 (229 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (cbrt (/ (+ (* alpha beta) (+ 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)))) (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 (85 enodes)
* * [misc]simplify:  iters left: 3 (224 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))) (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha))))) (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 47 / 360 ] 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 (79 enodes)
* * [misc]simplify:  iters left: 3 (204 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ (* alpha beta) 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 (84 enodes)
* * [misc]simplify:  iters left: 3 (225 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (+ (+ 1.0 2) (+ beta alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha))))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (+ (+ 1.0 2) (+ beta alpha)))))
* * * * [misc]progress:  [ 48 / 360 ] 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 (88 enodes)
* * [misc]simplify:  iters left: 3 (228 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) 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 (35 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (224 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 49 / 360 ] 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 (85 enodes)
* * [misc]simplify:  iters left: 3 (224 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (sqrt (+ (+ beta 1.0) (+ alpha 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 (85 enodes)
* * [misc]simplify:  iters left: 3 (224 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 50 / 360 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 3 (196 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 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 (84 enodes)
* * [misc]simplify:  iters left: 3 (225 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (+ (+ 1.0 2) (+ beta alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (+ (+ 1.0 2) (+ beta alpha)))))
* * * * [misc]progress:  [ 51 / 360 ] 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 (114 enodes)
* * [misc]simplify:  iters left: 3 (229 enodes)
* * [misc]simplify:  iters left: 2 (368 enodes)
* * [misc]simplify:  iters left: 1 (441 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) 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 (75 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))) (/ (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 52 / 360 ] 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 (100 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (240 enodes)
* * [misc]simplify:  iters left: 1 (273 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ alpha (+ 2 beta)))) (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ alpha (+ 2 beta))))) (* (cbrt (+ alpha (+ 2 beta))) (* (cbrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ alpha (+ 2 beta)))) (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ alpha (+ 2 beta))))) (* (cbrt (+ alpha (+ 2 beta))) (* (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 (36 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ alpha (+ 2 beta)))) (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ alpha (+ 2 beta))))) (* (cbrt (+ alpha (+ 2 beta))) (* (cbrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 53 / 360 ] 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 (84 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (356 enodes)
* * [misc]simplify:  iters left: 1 (438 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ 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)))) (+ (+ (+ 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 (74 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (286 enodes)
* * [misc]simplify:  iters left: 1 (339 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 54 / 360 ] 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 (92 enodes)
* * [misc]simplify:  iters left: 3 (172 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (270 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ beta (+ alpha 2)))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ beta (+ alpha 2)))) (* (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) (* (* (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ beta (+ alpha 2)))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 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 (75 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ beta (+ alpha 2)))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))) (/ (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 55 / 360 ] 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 (84 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (+ 2 beta) alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (+ 2 beta) alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (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 (75 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (+ 2 beta) alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 56 / 360 ] 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 (68 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (221 enodes)
* * [misc]simplify:  iters left: 1 (254 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta)))) (/ (/ (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 (74 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (286 enodes)
* * [misc]simplify:  iters left: 1 (339 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 57 / 360 ] 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 (99 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* * [misc]simplify:  iters left: 2 (460 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ beta (+ alpha 2)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ beta (+ alpha 2)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ beta (+ alpha 2)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ beta (+ alpha 2)))) (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 (90 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* * [misc]simplify:  iters left: 1 (207 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ beta (+ alpha 2)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ beta (+ alpha 2)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 58 / 360 ] 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 (87 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (260 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ 2 beta) alpha))) (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ 2 beta) alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ 2 beta) alpha))) (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ 2 beta) alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ (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 (90 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* * [misc]simplify:  iters left: 1 (207 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ 2 beta) alpha))) (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ 2 beta) alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 59 / 360 ] 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 (59 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) 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 (89 enodes)
* * [misc]simplify:  iters left: 3 (368 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 2) (+ beta alpha)) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha)))) (/ (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 2) (+ beta alpha)) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 60 / 360 ] 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 (88 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* * [misc]simplify:  iters left: 1 (207 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (/ (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 (75 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (* (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))))) (/ (sqrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 61 / 360 ] 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 (80 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta 1.0) (+ (* alpha beta) 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 (/ (+ (+ beta 1.0) (+ (* alpha beta) 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 (75 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ 2 beta) alpha))))) (/ (sqrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 62 / 360 ] 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 (65 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 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 (74 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (286 enodes)
* * [misc]simplify:  iters left: 1 (339 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 63 / 360 ] 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 (81 enodes)
* * [misc]simplify:  iters left: 3 (136 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (177 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (* (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (* (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (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 (75 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (* (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (sqrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 64 / 360 ] 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 (75 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ 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 (75 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (167 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (sqrt (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 65 / 360 ] 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (+ 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 (74 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* * [misc]simplify:  iters left: 2 (286 enodes)
* * [misc]simplify:  iters left: 1 (339 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))) (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 66 / 360 ] 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 (82 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (+ 2 beta) 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 (35 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* * [misc]simplify:  iters left: 1 (207 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 67 / 360 ] 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 (76 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ 2 (+ beta alpha)))) (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 (35 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* * [misc]simplify:  iters left: 1 (207 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (sqrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 68 / 360 ] 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 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 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 (89 enodes)
* * [misc]simplify:  iters left: 3 (368 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 2) (+ beta alpha)) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 2) (+ beta alpha)) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 69 / 360 ] 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 (129 enodes)
* * [misc]simplify:  iters left: 3 (302 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))) (/ (/ (/ (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 (77 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))) (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 70 / 360 ] 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 (119 enodes)
* * [misc]simplify:  iters left: 3 (252 enodes)
* * [misc]simplify:  iters left: 2 (441 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (+ alpha (+ 2 beta)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (+ alpha (+ 2 beta)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ 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 (77 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (+ alpha (+ 2 beta)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 71 / 360 ] 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 (105 enodes)
* * [misc]simplify:  iters left: 3 (249 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2))))) (/ (/ (/ (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 (76 enodes)
* * [misc]simplify:  iters left: 3 (174 enodes)
* * [misc]simplify:  iters left: 2 (293 enodes)
* * [misc]simplify:  iters left: 1 (452 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (* (+ (+ beta 1.0) (+ alpha 2)) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (* (+ (+ beta 1.0) (+ alpha 2)) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 72 / 360 ] 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 (120 enodes)
* * [misc]simplify:  iters left: 3 (275 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ alpha (+ 2 beta)))))) (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (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)))) (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 (81 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ alpha (+ 2 beta)))))) (sqrt (+ alpha (+ 2 beta)))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 73 / 360 ] 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 (112 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* * [misc]simplify:  iters left: 2 (384 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (/ (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 (81 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 74 / 360 ] 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 (94 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (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)))) (+ (+ (+ 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 (80 enodes)
* * [misc]simplify:  iters left: 3 (176 enodes)
* * [misc]simplify:  iters left: 2 (308 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (* (cbrt (+ 2 (+ beta alpha))) (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (* (cbrt (+ 2 (+ beta alpha))) (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 75 / 360 ] 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 (125 enodes)
* * [misc]simplify:  iters left: 3 (304 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))) (/ (/ (/ (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 (94 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (301 enodes)
* * [misc]simplify:  iters left: 1 (466 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))) (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 76 / 360 ] 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 (110 enodes)
* * [misc]simplify:  iters left: 3 (235 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (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 (94 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (301 enodes)
* * [misc]simplify:  iters left: 1 (466 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 77 / 360 ] 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 (84 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (356 enodes)
* * [misc]simplify:  iters left: 1 (437 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ 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 (95 enodes)
* * [misc]simplify:  iters left: 3 (403 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 78 / 360 ] 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 (111 enodes)
* * [misc]simplify:  iters left: 3 (254 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (/ (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 (81 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 79 / 360 ] 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 (101 enodes)
* * [misc]simplify:  iters left: 3 (214 enodes)
* * [misc]simplify:  iters left: 2 (364 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) 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 (81 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 80 / 360 ] 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 (85 enodes)
* * [misc]simplify:  iters left: 3 (188 enodes)
* * [misc]simplify:  iters left: 2 (461 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) beta))))) (/ (/ (/ (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 (80 enodes)
* * [misc]simplify:  iters left: 3 (176 enodes)
* * [misc]simplify:  iters left: 2 (308 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (* (sqrt (+ 2 (+ beta alpha))) (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) beta))))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (* (sqrt (+ 2 (+ beta alpha))) (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 81 / 360 ] 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 (89 enodes)
* * [misc]simplify:  iters left: 3 (176 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (+ beta (+ alpha 2)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (+ beta (+ alpha 2)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)))) (/ (/ (/ (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 (77 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (214 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (+ beta (+ alpha 2)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 82 / 360 ] 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 (83 enodes)
* * [misc]simplify:  iters left: 3 (150 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (292 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (+ (+ alpha 2) beta) (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (+ (+ alpha 2) beta) (cbrt (+ (* alpha beta) (+ (+ beta 1.0) 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 (77 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (214 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (+ (+ alpha 2) beta) (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 83 / 360 ] 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 (69 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (222 enodes)
* * [misc]simplify:  iters left: 1 (332 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (+ (+ 2 beta) alpha)) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (+ (+ 2 beta) alpha)) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (/ (/ (/ (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 (76 enodes)
* * [misc]simplify:  iters left: 3 (174 enodes)
* * [misc]simplify:  iters left: 2 (322 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ (+ alpha 2) beta) (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (+ (+ 2 beta) alpha)) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ (+ alpha 2) beta) (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 84 / 360 ] 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 (97 enodes)
* * [misc]simplify:  iters left: 3 (224 enodes)
* * [misc]simplify:  iters left: 2 (462 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ 1.0 beta) (+ alpha 2)))) (/ (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 beta) (+ alpha 2)))) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ 1.0 beta) (+ alpha 2)))) (/ (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 beta) (+ alpha 2)))) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) 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 (94 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (301 enodes)
* * [misc]simplify:  iters left: 1 (466 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ 1.0 beta) (+ alpha 2)))) (/ (* (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 beta) (+ alpha 2)))) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)))) (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 85 / 360 ] 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 (88 enodes)
* * [misc]simplify:  iters left: 3 (177 enodes)
* * [misc]simplify:  iters left: 2 (321 enodes)
* * [misc]simplify:  iters left: 1 (392 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (/ (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 (94 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (301 enodes)
* * [misc]simplify:  iters left: 1 (466 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 86 / 360 ] 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 (68 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (223 enodes)
* * [misc]simplify:  iters left: 1 (257 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ 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))) (+ (+ (+ 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 (95 enodes)
* * [misc]simplify:  iters left: 3 (403 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 87 / 360 ] 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 (120 enodes)
* * [misc]simplify:  iters left: 3 (313 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (/ (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 (94 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (297 enodes)
* * [misc]simplify:  iters left: 1 (414 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (cbrt (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 88 / 360 ] 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 (112 enodes)
* * [misc]simplify:  iters left: 3 (268 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ 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 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (297 enodes)
* * [misc]simplify:  iters left: 1 (414 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (cbrt (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 89 / 360 ] 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 (92 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (354 enodes)
* * [misc]simplify:  iters left: 1 (428 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (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)))) (+ (+ (+ 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 (93 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* * [misc]simplify:  iters left: 2 (424 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 90 / 360 ] 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 (104 enodes)
* * [misc]simplify:  iters left: 3 (245 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (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 (94 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (297 enodes)
* * [misc]simplify:  iters left: 1 (414 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 91 / 360 ] 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 (98 enodes)
* * [misc]simplify:  iters left: 3 (219 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (+ 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 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (297 enodes)
* * [misc]simplify:  iters left: 1 (414 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 92 / 360 ] 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 (78 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (325 enodes)
* * [misc]simplify:  iters left: 1 (338 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (/ (cbrt (+ (+ 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)))) (+ (+ (+ 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 (93 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* * [misc]simplify:  iters left: 2 (424 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 93 / 360 ] 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 (95 enodes)
* * [misc]simplify:  iters left: 3 (210 enodes)
* * [misc]simplify:  iters left: 2 (441 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (+ (+ 2 alpha) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (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 (109 enodes)
* * [misc]simplify:  iters left: 3 (289 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (+ (+ 2 alpha) (+ beta 1.0)))) (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (+ (+ 2 alpha) (+ beta 1.0))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 94 / 360 ] 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 (83 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (297 enodes)
* * [misc]simplify:  iters left: 1 (315 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (* alpha beta) (+ 1.0 (+ 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 (37 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (289 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 95 / 360 ] 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 (51 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 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 (36 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (466 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (* (+ (+ beta 1.0) (+ alpha 2)) (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (* (+ (+ beta 1.0) (+ alpha 2)) (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 96 / 360 ] 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 (100 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (270 enodes)
* * [misc]simplify:  iters left: 1 (455 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (+ alpha (+ beta 2)) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (+ alpha (+ beta 2)) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta alpha) (+ 1.0 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 (77 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))) (* (+ alpha (+ beta 2)) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))) (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 97 / 360 ] 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 (90 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* * [misc]simplify:  iters left: 1 (296 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ alpha 2) (+ beta 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)))) (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 (77 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 98 / 360 ] 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 (79 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (253 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ 2 (+ beta alpha))) (+ 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 (76 enodes)
* * [misc]simplify:  iters left: 3 (174 enodes)
* * [misc]simplify:  iters left: 2 (293 enodes)
* * [misc]simplify:  iters left: 1 (452 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (* (+ (+ beta 1.0) (+ alpha 2)) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (* (+ (+ beta 1.0) (+ alpha 2)) (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 99 / 360 ] 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 (94 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* * [misc]simplify:  iters left: 2 (257 enodes)
* * [misc]simplify:  iters left: 1 (330 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2))))) (* (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2))))) (* (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (/ (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 (81 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2))))) (* (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (sqrt (+ beta (+ alpha 2))))) (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 100 / 360 ] 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 (86 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* * [misc]simplify:  iters left: 1 (227 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (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 (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (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)) (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 (81 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ alpha (+ beta 2))))) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 101 / 360 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (119 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (209 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta))) (/ (/ (/ (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 (80 enodes)
* * [misc]simplify:  iters left: 3 (176 enodes)
* * [misc]simplify:  iters left: 2 (308 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (* (cbrt (+ 2 (+ beta alpha))) (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (* (cbrt (+ 2 (+ beta alpha))) (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 102 / 360 ] 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 (94 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (230 enodes)
* * [misc]simplify:  iters left: 1 (267 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ alpha (+ beta 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 (94 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (301 enodes)
* * [misc]simplify:  iters left: 1 (466 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 103 / 360 ] 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 (85 enodes)
* * [misc]simplify:  iters left: 3 (139 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta alpha) (+ 1.0 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 (94 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (301 enodes)
* * [misc]simplify:  iters left: 1 (466 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 104 / 360 ] 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 (65 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (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 (95 enodes)
* * [misc]simplify:  iters left: 3 (403 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 105 / 360 ] 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 (99 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* * [misc]simplify:  iters left: 2 (258 enodes)
* * [misc]simplify:  iters left: 1 (339 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2)))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2)))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (/ (/ (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 (81 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2)))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 106 / 360 ] 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 (89 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (199 enodes)
* * [misc]simplify:  iters left: 1 (231 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (* (cbrt (+ alpha (+ beta 2))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (* (cbrt (+ alpha (+ beta 2))) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (/ (/ (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 (81 enodes)
* * [misc]simplify:  iters left: 3 (138 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (* (cbrt (+ alpha (+ beta 2))) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 107 / 360 ] 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 (74 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (/ (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 (80 enodes)
* * [misc]simplify:  iters left: 3 (176 enodes)
* * [misc]simplify:  iters left: 2 (308 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (* (sqrt (+ 2 (+ beta alpha))) (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (* (sqrt (+ 2 (+ beta alpha))) (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 108 / 360 ] 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 (83 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (284 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))) (+ beta (+ alpha 2))) (/ (/ (/ (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 (77 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (214 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))) (+ beta (+ alpha 2))) (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 109 / 360 ] 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 (77 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (214 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ 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 (77 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (214 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))))
* * * * [misc]progress:  [ 110 / 360 ] 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 (62 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (148 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (+ (+ beta 2) 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)))) (+ (+ (+ 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 (76 enodes)
* * [misc]simplify:  iters left: 3 (174 enodes)
* * [misc]simplify:  iters left: 2 (322 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ (+ alpha 2) beta) (+ (+ beta alpha) (+ 1.0 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (+ (+ alpha 2) beta) (+ (+ beta alpha) (+ 1.0 2))))))
* * * * [misc]progress:  [ 111 / 360 ] 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 (87 enodes)
* * [misc]simplify:  iters left: 3 (156 enodes)
* * [misc]simplify:  iters left: 2 (199 enodes)
* * [misc]simplify:  iters left: 1 (221 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (+ beta (+ 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 (94 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (301 enodes)
* * [misc]simplify:  iters left: 1 (466 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 112 / 360 ] 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 (80 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (167 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (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 (94 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (301 enodes)
* * [misc]simplify:  iters left: 1 (466 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))))))
* * * * [misc]progress:  [ 113 / 360 ] 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (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 (95 enodes)
* * [misc]simplify:  iters left: 3 (403 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (* (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 114 / 360 ] 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 (98 enodes)
* * [misc]simplify:  iters left: 3 (173 enodes)
* * [misc]simplify:  iters left: 2 (273 enodes)
* * [misc]simplify:  iters left: 1 (327 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ 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 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (297 enodes)
* * [misc]simplify:  iters left: 1 (414 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (cbrt (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 115 / 360 ] 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 (90 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (197 enodes)
* * [misc]simplify:  iters left: 1 (214 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ alpha 2) (+ beta 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)))) (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 (167 enodes)
* * [misc]simplify:  iters left: 2 (297 enodes)
* * [misc]simplify:  iters left: 1 (414 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (cbrt (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 116 / 360 ] 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 (74 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (141 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (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)))) (+ (+ (+ 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 (93 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* * [misc]simplify:  iters left: 2 (424 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 117 / 360 ] 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 (89 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (/ (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 (94 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (297 enodes)
* * [misc]simplify:  iters left: 1 (414 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 118 / 360 ] 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 (83 enodes)
* * [misc]simplify:  iters left: 3 (136 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (184 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (sqrt (+ (+ beta alpha) (+ 2 1.0))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (sqrt (+ (+ beta alpha) (+ 2 1.0))) (sqrt (+ beta (+ 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 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (297 enodes)
* * [misc]simplify:  iters left: 1 (414 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (* (sqrt (+ (+ beta alpha) (+ 2 1.0))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))) (sqrt (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 119 / 360 ] 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 (66 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) 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 (93 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* * [misc]simplify:  iters left: 2 (424 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (* (+ (+ 1.0 beta) (+ alpha 2)) (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 120 / 360 ] 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 (75 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (160 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (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 (37 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (289 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 121 / 360 ] 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 (70 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (141 enodes)
* * [misc]simplify:  iters left: 1 (158 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ beta 1.0) (+ alpha 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 (37 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (289 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 122 / 360 ] 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 (46 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (sqrt (+ (* 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 (106 enodes)
* * [misc]simplify:  iters left: 3 (466 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (* (+ (+ beta 1.0) (+ alpha 2)) (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (* (+ (+ beta 1.0) (+ alpha 2)) (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 123 / 360 ] 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 (360 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 (76 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* [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))))) (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 124 / 360 ] 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 (218 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 (76 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))) (sqrt (+ (+ alpha beta) (+ 2 1.0)))) (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 125 / 360 ] 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 (75 enodes)
* * [misc]simplify:  iters left: 3 (173 enodes)
* * [misc]simplify:  iters left: 2 (309 enodes)
* * [misc]simplify:  iters left: 1 (474 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) 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))) (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ 1.0 2) (+ beta alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 126 / 360 ] 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 (80 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [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))))) (/ (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 127 / 360 ] 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 (80 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [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)))) (/ (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 128 / 360 ] 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 (79 enodes)
* * [misc]simplify:  iters left: 3 (181 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (cbrt (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (cbrt (+ (+ alpha 2) beta))) (* (sqrt (+ (+ alpha 2) beta)) (+ (+ alpha 2) (+ beta 1.0))))))
* * * * [misc]progress:  [ 129 / 360 ] 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 (95 enodes)
* * [misc]simplify:  iters left: 3 (201 enodes)
* * [misc]simplify:  iters left: 2 (313 enodes)
* * [misc]simplify:  iters left: 1 (486 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (cbrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [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)))))) (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (cbrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 130 / 360 ] 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 (95 enodes)
* * [misc]simplify:  iters left: 3 (201 enodes)
* * [misc]simplify:  iters left: 2 (313 enodes)
* * [misc]simplify:  iters left: 1 (486 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (cbrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (cbrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 131 / 360 ] 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 (94 enodes)
* * [misc]simplify:  iters left: 3 (401 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* 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 (+ beta alpha)) (* alpha beta)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ (+ 2 beta) alpha) (cbrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 132 / 360 ] 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 (80 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (cbrt (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [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)))) (/ (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (cbrt (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 133 / 360 ] 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 (80 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (cbrt (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [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))))) (/ (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (cbrt (+ (+ 2 beta) alpha))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))))
* * * * [misc]progress:  [ 134 / 360 ] 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 (79 enodes)
* * [misc]simplify:  iters left: 3 (181 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (sqrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (+ (+ alpha 2) (+ beta 1.0))))))
* * * * [misc]progress:  [ 135 / 360 ] 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 (90 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (203 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 (76 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (213 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (cbrt (+ (+ alpha 2) (+ beta 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))))) (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (+ (+ alpha 2) beta))))
* * * * [misc]progress:  [ 136 / 360 ] 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 (77 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (134 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 (76 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (213 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (+ (+ alpha 2) beta))))
* * * * [misc]progress:  [ 137 / 360 ] 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)
* [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 (75 enodes)
* * [misc]simplify:  iters left: 3 (173 enodes)
* * [misc]simplify:  iters left: 2 (338 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (* (+ (+ beta 1.0) (+ alpha 2)) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (+ (+ alpha beta) 2)) (/ (+ (+ (+ 1.0 alpha) beta) (* alpha beta)) (* (+ (+ beta 1.0) (+ alpha 2)) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 138 / 360 ] 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 (95 enodes)
* * [misc]simplify:  iters left: 3 (201 enodes)
* * [misc]simplify:  iters left: 2 (313 enodes)
* * [misc]simplify:  iters left: 1 (486 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))
* [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)))) (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 139 / 360 ] 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 (95 enodes)
* * [misc]simplify:  iters left: 3 (201 enodes)
* * [misc]simplify:  iters left: 2 (313 enodes)
* * [misc]simplify:  iters left: 1 (486 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ 2 (+ beta alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))))
* * * * [misc]progress:  [ 140 / 360 ] 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 (94 enodes)
* * [misc]simplify:  iters left: 3 (401 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* 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 (+ beta alpha)) (* alpha beta)) (+ (+ 1.0 alpha) (+ 2 beta))) (* (+ (+ 2 beta) alpha) (sqrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 141 / 360 ] 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 (95 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (300 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (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)))))) (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 142 / 360 ] 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 (95 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (300 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (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)))) (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 143 / 360 ] 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 (94 enodes)
* * [misc]simplify:  iters left: 3 (207 enodes)
* * [misc]simplify:  iters left: 2 (424 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ alpha (+ beta 1.0)) (* 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 (+ beta (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha))))) (/ (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 144 / 360 ] 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 (95 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (300 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (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))))) (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 145 / 360 ] 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 (95 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (300 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ 2 (+ beta alpha))))) (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 146 / 360 ] 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 (94 enodes)
* * [misc]simplify:  iters left: 3 (207 enodes)
* * [misc]simplify:  iters left: 2 (424 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ alpha (+ beta 1.0)) (* 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 (+ beta (+ 2 alpha)))) (/ (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 147 / 360 ] 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 (105 enodes)
* * [misc]simplify:  iters left: 3 (274 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ 2 1.0) (+ alpha beta))) (cbrt (+ (+ 2 1.0) (+ alpha beta))))) (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 148 / 360 ] 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 (105 enodes)
* * [misc]simplify:  iters left: 3 (274 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 149 / 360 ] 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 (102 enodes)
* * [misc]simplify:  iters left: 3 (439 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ (+ 2 beta) (+ 1.0 alpha))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* 1 (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ (+ 2 beta) (+ 1.0 alpha))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 150 / 360 ] 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 (95 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (300 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (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))))) (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 151 / 360 ] 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 (95 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (300 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (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)))) (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 152 / 360 ] 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 (94 enodes)
* * [misc]simplify:  iters left: 3 (207 enodes)
* * [misc]simplify:  iters left: 2 (424 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ alpha (+ beta 1.0)) (* 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))) (/ (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 153 / 360 ] 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 (95 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (300 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (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))))) (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 154 / 360 ] 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 (95 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (300 enodes)
* * [misc]simplify:  iters left: 1 (411 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 155 / 360 ] 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 (94 enodes)
* * [misc]simplify:  iters left: 3 (207 enodes)
* * [misc]simplify:  iters left: 2 (424 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ alpha (+ beta 1.0)) (* 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 (+ (+ beta 2) alpha))) (/ (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 156 / 360 ] 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 (105 enodes)
* * [misc]simplify:  iters left: 3 (274 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ 2 1.0) (+ beta alpha))) (cbrt (+ (+ 2 1.0) (+ beta alpha))))) (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 157 / 360 ] 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 (105 enodes)
* * [misc]simplify:  iters left: 3 (274 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ beta alpha) (+ 2 1.0)))) (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 158 / 360 ] 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 (102 enodes)
* * [misc]simplify:  iters left: 3 (439 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ (+ 2 beta) (+ 1.0 alpha))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* 1 (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ (+ 2 beta) (+ 1.0 alpha))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 159 / 360 ] 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 (86 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (200 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (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) (* (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (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 (118 enodes)
* * [misc]simplify:  iters left: 2 (230 enodes)
* * [misc]simplify:  iters left: 1 (333 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) (* (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (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:  [ 160 / 360 ] 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 (78 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (179 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (/ (/ 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 (118 enodes)
* * [misc]simplify:  iters left: 2 (230 enodes)
* * [misc]simplify:  iters left: 1 (333 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) (* (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (cbrt (+ (+ alpha beta) 2)))))
* * * * [misc]progress:  [ 161 / 360 ] 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 (63 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (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 (151 enodes)
* * [misc]simplify:  iters left: 2 (355 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta 2) (+ alpha 1.0))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) (/ (/ 1 (+ (+ beta 2) (+ alpha 1.0))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 162 / 360 ] 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 (79 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ beta 1.0) alpha) (* alpha 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) (* (/ (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (/ 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 (118 enodes)
* * [misc]simplify:  iters left: 2 (230 enodes)
* * [misc]simplify:  iters left: 1 (333 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) (* (/ (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ (+ alpha beta) 2)))))
* * * * [misc]progress:  [ 163 / 360 ] 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 (73 enodes)
* * [misc]simplify:  iters left: 3 (119 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (164 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (+ (+ 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 (118 enodes)
* * [misc]simplify:  iters left: 2 (230 enodes)
* * [misc]simplify:  iters left: 1 (333 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) (* (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha))) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (sqrt (+ (+ alpha beta) 2)))))
* * * * [misc]progress:  [ 164 / 360 ] 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 (58 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))) (/ (/ (/ 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 (151 enodes)
* * [misc]simplify:  iters left: 2 (355 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta 2) (+ alpha 1.0))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))) (/ (/ 1 (+ (+ beta 2) (+ alpha 1.0))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 165 / 360 ] 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 (77 enodes)
* * [misc]simplify:  iters left: 3 (136 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (177 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta 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 (227 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) (* (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (/ 1 (+ (+ beta 2) alpha)) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 166 / 360 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (166 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (/ (/ 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 (227 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) (* (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (/ 1 (+ (+ beta 2) alpha)) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 167 / 360 ] 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 (44 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (+ (* alpha beta) (+ alpha (+ beta 1.0)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (+ (* alpha beta) (+ alpha (+ beta 1.0))) (/ (/ (/ 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 (395 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha 2) beta)) (* (+ (+ alpha 2) (+ 1.0 beta)) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (+ (* alpha beta) (+ alpha (+ beta 1.0))) (/ (/ 1 (+ (+ alpha 2) beta)) (* (+ (+ alpha 2) (+ 1.0 beta)) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 168 / 360 ] 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 (140 enodes)
* * [misc]simplify:  iters left: 3 (347 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (+ (pow (+ beta alpha) 3) 8)) (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (+ (pow (+ beta alpha) 3) 8)) (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (/ (/ (+ (* (+ 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 (45 enodes)
* * [misc]simplify:  iters left: 4 (132 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* [exit]simplify:  Simplified to (/ (+ 4 (* (+ beta alpha) (+ -2 (+ beta alpha)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (+ (pow (+ beta alpha) 3) 8)) (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (/ (+ 4 (* (+ beta alpha) (+ -2 (+ beta alpha)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ 2 1.0) (+ beta alpha)))))))
* * * * [misc]progress:  [ 169 / 360 ] 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 (130 enodes)
* * [misc]simplify:  iters left: 3 (297 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (pow (+ beta alpha) 3) 8)) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (cbrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (pow (+ beta alpha) 3) 8)) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (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 (45 enodes)
* * [misc]simplify:  iters left: 4 (132 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* [exit]simplify:  Simplified to (/ (+ 4 (* (+ beta alpha) (+ -2 (+ beta alpha)))) (* (cbrt (+ alpha (+ beta 2))) (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (pow (+ beta alpha) 3) 8)) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (cbrt (+ beta (+ alpha 2)))) (/ (+ 4 (* (+ beta alpha) (+ -2 (+ beta alpha)))) (* (cbrt (+ alpha (+ beta 2))) (sqrt (+ (+ 2 1.0) (+ beta alpha)))))))
* * * * [misc]progress:  [ 170 / 360 ] 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 (116 enodes)
* * [misc]simplify:  iters left: 3 (283 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ alpha (+ 2 beta)))) (* (+ (pow (+ beta alpha) 3) 8) (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ alpha (+ 2 beta)))) (* (+ (pow (+ beta alpha) 3) 8) (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 (44 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* * [misc]simplify:  iters left: 3 (396 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (* (+ (+ beta 1.0) (+ alpha 2)) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ alpha (+ 2 beta)))) (* (+ (pow (+ beta alpha) 3) 8) (cbrt (+ alpha (+ 2 beta))))) (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (* (+ (+ beta 1.0) (+ alpha 2)) (cbrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 171 / 360 ] 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 (130 enodes)
* * [misc]simplify:  iters left: 3 (312 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (pow (+ beta alpha) 3) 8)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (pow (+ beta alpha) 3) 8)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (+ (* (+ 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 (45 enodes)
* * [misc]simplify:  iters left: 4 (132 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* [exit]simplify:  Simplified to (/ (+ 4 (* (+ beta alpha) (+ -2 (+ beta alpha)))) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (pow (+ beta alpha) 3) 8)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (+ 4 (* (+ beta alpha) (+ -2 (+ beta alpha)))) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ (+ 2 1.0) (+ beta alpha)))))))
* * * * [misc]progress:  [ 172 / 360 ] 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 (122 enodes)
* * [misc]simplify:  iters left: 3 (276 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta)))) (* (+ (pow (+ beta alpha) 3) 8) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta)))) (* (+ (pow (+ beta alpha) 3) 8) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (+ (* (+ 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 (45 enodes)
* * [misc]simplify:  iters left: 4 (132 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* [exit]simplify:  Simplified to (/ (+ 4 (* (+ beta alpha) (+ -2 (+ beta alpha)))) (* (sqrt (+ alpha (+ beta 2))) (sqrt (+ (+ 2 1.0) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ alpha (+ 2 beta)))) (* (+ (pow (+ beta alpha) 3) 8) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (+ 4 (* (+ beta alpha) (+ -2 (+ beta alpha)))) (* (sqrt (+ alpha (+ beta 2))) (sqrt (+ (+ 2 1.0) (+ beta alpha)))))))
* * * * [misc]progress:  [ 173 / 360 ] 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 (108 enodes)
* * [misc]simplify:  iters left: 3 (259 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ 8 (pow (+ beta alpha) 3))) (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ 8 (pow (+ beta alpha) 3))) (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 (44 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* * [misc]simplify:  iters left: 3 (396 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (* (+ (+ beta 1.0) (+ alpha 2)) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ 8 (pow (+ beta alpha) 3))) (sqrt (+ alpha (+ 2 beta)))) (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (* (+ (+ beta 1.0) (+ alpha 2)) (sqrt (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 174 / 360 ] 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 (128 enodes)
* * [misc]simplify:  iters left: 3 (270 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (+ 8 (pow (+ beta alpha) 3))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (+ 8 (pow (+ beta alpha) 3))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (+ (* (+ 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 (44 enodes)
* * [misc]simplify:  iters left: 4 (149 enodes)
* * [misc]simplify:  iters left: 3 (393 enodes)
* [exit]simplify:  Simplified to (/ (+ 4 (* (+ beta alpha) (+ (+ beta alpha) -2))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (+ 8 (pow (+ beta alpha) 3))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (+ 4 (* (+ beta alpha) (+ (+ beta alpha) -2))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))))
* * * * [misc]progress:  [ 175 / 360 ] 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 (121 enodes)
* * [misc]simplify:  iters left: 3 (245 enodes)
* * [misc]simplify:  iters left: 2 (499 enodes)
* [exit]simplify:  Simplified to (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (+ (pow (+ beta alpha) 3) 8) (sqrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (+ (pow (+ beta alpha) 3) 8) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (+ (* (+ 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 (44 enodes)
* * [misc]simplify:  iters left: 4 (149 enodes)
* * [misc]simplify:  iters left: 3 (393 enodes)
* [exit]simplify:  Simplified to (/ (+ 4 (* (+ beta alpha) (+ (+ beta alpha) -2))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (* (+ (pow (+ beta alpha) 3) 8) (sqrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (+ 4 (* (+ beta alpha) (+ (+ beta alpha) -2))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))))
* * * * [misc]progress:  [ 176 / 360 ] 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 (92 enodes)
* * [misc]simplify:  iters left: 3 (195 enodes)
* * [misc]simplify:  iters left: 2 (428 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ 8 (pow (+ beta alpha) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ 8 (pow (+ beta alpha) 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)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ 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 (148 enodes)
* [exit]simplify:  Simplified to (/ (+ 4 (+ (* (+ beta alpha) (+ beta alpha)) (* (+ beta alpha) -2))) (* (+ (+ beta 2) (+ 1.0 alpha)) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ 8 (pow (+ beta alpha) 3))) (/ (+ 4 (+ (* (+ beta alpha) (+ beta alpha)) (* (+ beta alpha) -2))) (* (+ (+ beta 2) (+ 1.0 alpha)) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 177 / 360 ] 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 (59 enodes)
* * [misc]simplify:  iters left: 4 (153 enodes)
* * [misc]simplify:  iters left: 3 (468 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (- (* (+ beta alpha) (+ beta alpha)) 4)) (* (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (- (* (+ beta alpha) (+ beta alpha)) 4)) (* (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (- (+ 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) (* (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (- (* (+ beta alpha) (+ beta alpha)) 4)) (* (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (- beta (- 2 alpha)) (cbrt (+ (+ alpha 1.0) (+ beta 2)))) (cbrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 178 / 360 ] 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 (57 enodes)
* * [misc]simplify:  iters left: 4 (142 enodes)
* * [misc]simplify:  iters left: 3 (401 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ alpha 2) beta)) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))) (* (- alpha (- 2 beta)) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ alpha 2) beta)) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))) (* (- alpha (- 2 beta)) (sqrt (+ (+ 1.0 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) (* (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ alpha 2) beta)) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))) (* (- alpha (- 2 beta)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (- beta (- 2 alpha)) (sqrt (+ (+ alpha 1.0) (+ beta 2)))) (cbrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 179 / 360 ] 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 (126 enodes)
* * [misc]simplify:  iters left: 3 (390 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (+ -4 (* (+ beta alpha) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (+ -4 (* (+ beta alpha) (+ 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 (272 enodes)
* * [misc]simplify:  iters left: 1 (328 enodes)
* [exit]simplify:  Simplified to (/ (/ (- alpha (- 2 beta)) (+ (+ beta 2) (+ alpha 1.0))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (+ -4 (* (+ beta alpha) (+ beta alpha))))) (/ (/ (- alpha (- 2 beta)) (+ (+ beta 2) (+ alpha 1.0))) (cbrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 180 / 360 ] 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 (57 enodes)
* * [misc]simplify:  iters left: 4 (141 enodes)
* * [misc]simplify:  iters left: 3 (395 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ alpha (+ beta 2))) (* (sqrt (+ alpha (+ beta 2))) (- beta (- 2 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) (+ (* alpha beta) alpha)) (+ alpha (+ beta 2))) (* (sqrt (+ alpha (+ beta 2))) (- beta (- 2 alpha)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (/ (- (+ 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) (* (/ (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ alpha (+ beta 2))) (* (sqrt (+ alpha (+ beta 2))) (- beta (- 2 alpha)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (/ (- beta (- 2 alpha)) (cbrt (+ (+ alpha 1.0) (+ beta 2)))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 181 / 360 ] 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 (54 enodes)
* * [misc]simplify:  iters left: 4 (133 enodes)
* * [misc]simplify:  iters left: 3 (357 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (- (+ 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) (* (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (- beta (- 2 alpha)) (sqrt (+ (+ alpha 1.0) (+ beta 2)))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 182 / 360 ] 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 (118 enodes)
* * [misc]simplify:  iters left: 3 (350 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (sqrt (+ 2 (+ beta alpha))) (+ (* (+ beta alpha) (+ beta alpha)) -4)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (sqrt (+ 2 (+ beta alpha))) (+ (* (+ beta alpha) (+ beta alpha)) -4))) (/ (/ (- (+ 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 (272 enodes)
* * [misc]simplify:  iters left: 1 (328 enodes)
* [exit]simplify:  Simplified to (/ (/ (- alpha (- 2 beta)) (+ (+ beta 2) (+ alpha 1.0))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (sqrt (+ 2 (+ beta alpha))) (+ (* (+ beta alpha) (+ beta alpha)) -4))) (/ (/ (- alpha (- 2 beta)) (+ (+ beta 2) (+ alpha 1.0))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 183 / 360 ] 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 (56 enodes)
* * [misc]simplify:  iters left: 4 (139 enodes)
* * [misc]simplify:  iters left: 3 (384 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 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 (153 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* * [misc]simplify:  iters left: 1 (211 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ -2 alpha) beta) (+ 2 (+ beta alpha))) (cbrt (+ (+ 1.0 beta) (+ 2 alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))) (/ (/ (+ (+ -2 alpha) beta) (+ 2 (+ beta alpha))) (cbrt (+ (+ 1.0 beta) (+ 2 alpha))))))
* * * * [misc]progress:  [ 184 / 360 ] 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 (132 enodes)
* * [misc]simplify:  iters left: 3 (334 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (/ (/ (- (+ 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 (153 enodes)
* * [misc]simplify:  iters left: 2 (190 enodes)
* * [misc]simplify:  iters left: 1 (211 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ -2 alpha) beta) (+ 2 (+ beta alpha))) (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (/ (/ (+ (+ -2 alpha) beta) (+ 2 (+ beta alpha))) (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))))
* * * * [misc]progress:  [ 185 / 360 ] 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 (41 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (276 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ (* (+ beta alpha) (+ beta alpha)) -4))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ (* (+ 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 (372 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) (* (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (/ (/ (+ -2 (+ beta alpha)) (+ 2 (+ beta alpha))) (+ (+ alpha 1.0) (+ beta 2)))))
* * * * [misc]progress:  [ 186 / 360 ] 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 (105 enodes)
* * [misc]simplify:  iters left: 3 (274 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ 1.0 beta) (+ alpha 2))))) (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 187 / 360 ] 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 (105 enodes)
* * [misc]simplify:  iters left: 3 (274 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ 1.0 beta) (+ alpha 2)))) (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 188 / 360 ] 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 (102 enodes)
* * [misc]simplify:  iters left: 3 (439 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ (+ 2 beta) (+ 1.0 alpha))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* 1 (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (+ (+ 2 beta) (+ 1.0 alpha))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 189 / 360 ] 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 (94 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* * [misc]simplify:  iters left: 2 (291 enodes)
* * [misc]simplify:  iters left: 1 (371 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (+ (+ 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) alpha) (* alpha beta)) (+ (+ 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 (108 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ beta 2) (+ alpha 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (+ (+ 2 beta) alpha)) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ beta 2) (+ alpha 1.0))))))
* * * * [misc]progress:  [ 190 / 360 ] 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 (86 enodes)
* * [misc]simplify:  iters left: 3 (156 enodes)
* * [misc]simplify:  iters left: 2 (189 enodes)
* * [misc]simplify:  iters left: 1 (203 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (+ 2 (+ beta alpha))) (/ (/ 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 (108 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ beta 2) (+ alpha 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (+ 2 (+ beta alpha))) (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ beta 2) (+ alpha 1.0))))))
* * * * [misc]progress:  [ 191 / 360 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 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 (304 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha 2) (+ 1.0 beta))) (+ (+ alpha beta) 2))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 2 (+ beta alpha))) (/ (/ 1 (+ (+ alpha 2) (+ 1.0 beta))) (+ (+ alpha beta) 2))))
* * * * [misc]progress:  [ 192 / 360 ] 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 (144 enodes)
* * [misc]simplify:  iters left: 3 (437 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ beta (+ 1.0 alpha)) (* alpha beta)) (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (+ 8 (pow (+ beta alpha) 3))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (+ (+ beta (+ 1.0 alpha)) (* alpha beta)) (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (+ 8 (pow (+ beta alpha) 3)))) (/ (+ (* (+ 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 (41 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* * [misc]simplify:  iters left: 3 (319 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (+ beta (+ 1.0 alpha)) (* alpha beta)) (+ alpha (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (+ 8 (pow (+ beta alpha) 3)))) (/ (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))))
* * * * [misc]progress:  [ 193 / 360 ] 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 (136 enodes)
* * [misc]simplify:  iters left: 3 (372 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (+ (pow (+ beta alpha) 3) 8)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (+ (pow (+ beta alpha) 3) 8))) (/ (+ (* (+ 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 (41 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* * [misc]simplify:  iters left: 3 (319 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (+ (pow (+ beta alpha) 3) 8))) (/ (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))
* * * * [misc]progress:  [ 194 / 360 ] 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 (121 enodes)
* * [misc]simplify:  iters left: 3 (283 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ 2 (+ beta alpha)) (+ (pow (+ beta alpha) 3) 8)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ 2 (+ beta alpha)) (+ (pow (+ beta alpha) 3) 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 (40 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* * [misc]simplify:  iters left: 3 (318 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (+ (+ beta 2) (+ 1.0 alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ 2 (+ beta alpha)) (+ (pow (+ beta alpha) 3) 8))) (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (+ (+ beta 2) (+ 1.0 alpha)))))
* * * * [misc]progress:  [ 195 / 360 ] 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 (157 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (+ -4 (* (+ beta alpha) (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (/ (- (+ 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) (* (/ (/ (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ beta (+ alpha 2))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (/ (+ (+ beta alpha) -2) (cbrt (+ (+ 2 alpha) (+ beta 1.0))))))
* * * * [misc]progress:  [ 196 / 360 ] 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 (149 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ 1.0 beta) alpha) (* alpha beta)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))) (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ alpha (+ beta -2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (+ 1.0 beta) alpha) (* alpha beta)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))) (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ alpha (+ beta -2)))) (/ (- (+ 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) (* (/ (/ (+ (+ (+ 1.0 beta) alpha) (* alpha beta)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))) (* (sqrt (+ (+ 2 beta) (+ 1.0 alpha))) (+ alpha (+ beta -2)))) (/ (+ (+ beta alpha) -2) (sqrt (+ (+ 2 alpha) (+ beta 1.0))))))
* * * * [misc]progress:  [ 197 / 360 ] 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 (47 enodes)
* * [misc]simplify:  iters left: 4 (135 enodes)
* * [misc]simplify:  iters left: 3 (443 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))) (- (+ beta alpha) 2))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))) (- (+ beta alpha) 2)) (/ (- (+ 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) (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))) (- (+ beta alpha) 2)) (/ (+ (+ -2 alpha) beta) (+ (+ alpha 1.0) (+ beta 2)))))
* * * * [misc]progress:  [ 198 / 360 ] 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:  [ 199 / 360 ] 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:  [ 200 / 360 ] 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:  [ 201 / 360 ] 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:  [ 202 / 360 ] 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:  [ 203 / 360 ] 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:  [ 204 / 360 ] 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 (70 enodes)
* * [misc]simplify:  iters left: 3 (194 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 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:  [ 205 / 360 ] 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 (69 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (sqrt (/ (+ (+ beta 1.0) (+ (* alpha beta) 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:  [ 206 / 360 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ 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:  [ 207 / 360 ] 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 (59 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (123 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) 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:  [ 208 / 360 ] 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 (62 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) beta)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 209 / 360 ] 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 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) 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) (* alpha beta)) 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:  [ 210 / 360 ] 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 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 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:  [ 211 / 360 ] 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 (55 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 212 / 360 ] 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 (91 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (285 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ 2 beta) alpha)) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ 2 beta) alpha)) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) 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:  [ 213 / 360 ] 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 (85 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (232 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ 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:  [ 214 / 360 ] 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 (83 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (361 enodes)
* * [misc]simplify:  iters left: 1 (453 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (* alpha beta) 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:  [ 215 / 360 ] 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 (77 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (235 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 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:  [ 216 / 360 ] 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 (62 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (118 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (+ (+ 2 beta) alpha)) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (+ (+ 2 beta) alpha)) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (+ (+ (+ 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:  [ 217 / 360 ] 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 (67 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (221 enodes)
* * [misc]simplify:  iters left: 1 (244 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (* (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ (+ beta 1.0) (* 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:  [ 218 / 360 ] 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 (84 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* * [misc]simplify:  iters left: 2 (436 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ beta (+ alpha 2))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 219 / 360 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (274 enodes)
* * [misc]simplify:  iters left: 1 (288 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha 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:  [ 220 / 360 ] 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 (48 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha 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:  [ 221 / 360 ] 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 (67 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (157 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ 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:  [ 222 / 360 ] 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 (65 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 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:  [ 223 / 360 ] 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 (64 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 224 / 360 ] 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 (66 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ 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:  [ 225 / 360 ] 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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 226 / 360 ] 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 (59 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 227 / 360 ] 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 (67 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ (* 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:  [ 228 / 360 ] 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 (61 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (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:  [ 229 / 360 ] 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 (43 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 230 / 360 ] 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:  [ 231 / 360 ] 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:  [ 232 / 360 ] 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:  [ 233 / 360 ] 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:  [ 234 / 360 ] 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:  [ 235 / 360 ] 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:  [ 236 / 360 ] 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:  [ 237 / 360 ] 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:  [ 238 / 360 ] 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:  [ 239 / 360 ] 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:  [ 240 / 360 ] 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:  [ 241 / 360 ] 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:  [ 242 / 360 ] 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 (55 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 243 / 360 ] 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 (52 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ beta (+ alpha 2)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 244 / 360 ] 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 (41 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (88 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (+ (+ (+ beta 1.0) alpha) (* alpha beta))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 245 / 360 ] 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 (106 enodes)
* * [misc]simplify:  iters left: 3 (250 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ 8 (pow (+ beta alpha) 3))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ 8 (pow (+ beta alpha) 3))) (* (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:  [ 246 / 360 ] 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 (100 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta)))) (+ 8 (pow (+ beta alpha) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta)))) (+ 8 (pow (+ beta alpha) 3))) (/ (+ (+ (+ 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:  [ 247 / 360 ] 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 (91 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (423 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 8 (pow (+ beta alpha) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 8 (pow (+ beta alpha) 3))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 248 / 360 ] 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 (118 enodes)
* * [misc]simplify:  iters left: 3 (346 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 249 / 360 ] 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 (45 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (330 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (+ (* (+ beta alpha) (+ beta alpha)) -4))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 250 / 360 ] 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 (41 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (278 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (- (* (+ beta alpha) (+ beta alpha)) 4))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (- (* (+ beta alpha) (+ beta alpha)) 4)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 251 / 360 ] 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:  [ 252 / 360 ] 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 (51 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ 2 beta) alpha))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ 2 beta) alpha)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 253 / 360 ] 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 (105 enodes)
* * [misc]simplify:  iters left: 3 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (pow (+ beta alpha) 3) 8)) (+ alpha (+ 2 beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (pow (+ beta alpha) 3) 8)) (+ alpha (+ 2 beta))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 254 / 360 ] 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 (44 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* * [misc]simplify:  iters left: 3 (408 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ 2 (+ beta alpha))) (+ -4 (* (+ beta alpha) (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ 2 (+ beta alpha))) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (- (+ alpha beta) (* 2 1)))))
* * * * [misc]progress:  [ 255 / 360 ] 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 (33 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* [exit]simplify:  Simplified to (- (* 1.0 1.0) (* (+ 2 (+ beta alpha)) (- (- 1.0 alpha) (+ beta 2))))
* [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))) (- (* 1.0 1.0) (* (+ 2 (+ beta alpha)) (- (- 1.0 alpha) (+ beta 2))))))
* * * * [misc]progress:  [ 256 / 360 ] 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:  [ 257 / 360 ] 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 (51 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ 2 beta) alpha))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ 2 beta) alpha)) (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ alpha beta) (* 2 1)))))
* * * * [misc]progress:  [ 258 / 360 ] 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:  [ 259 / 360 ] 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 (67 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (- (log (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (+ (log (+ 2 (+ beta alpha))) (log (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (exp (- (log (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (+ (log (+ 2 (+ beta alpha))) (log (+ 2 (+ beta alpha)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 260 / 360 ] 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 (64 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (155 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (- (log (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (+ (log (+ 2 (+ beta alpha))) (log (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (exp (- (log (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (+ (log (+ 2 (+ beta alpha))) (log (+ 2 (+ beta alpha)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 261 / 360 ] 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:  [ 262 / 360 ] 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:  [ 263 / 360 ] 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 (361 enodes)
* [exit]simplify:  Simplified to (/ (pow (+ (* alpha beta) (+ (+ 1.0 beta) alpha)) 3) (* (pow (+ beta (+ alpha 2)) 3) (pow (+ beta (+ alpha 2)) 3)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (cbrt (/ (pow (+ (* alpha beta) (+ (+ 1.0 beta) alpha)) 3) (* (pow (+ beta (+ alpha 2)) 3) (pow (+ beta (+ alpha 2)) 3)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 264 / 360 ] 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 (265 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))) 3)
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (cbrt (pow (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))) 3)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 265 / 360 ] 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:  [ 266 / 360 ] 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:  [ 267 / 360 ] 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:  [ 268 / 360 ] 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:  [ 269 / 360 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (/ (cbrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ 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 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (cbrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha)))) (/ (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 270 / 360 ] 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 (59 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (123 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) 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 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 271 / 360 ] 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 (62 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) 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)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) beta)))) (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 272 / 360 ] 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 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) 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) (* alpha beta)) 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 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 273 / 360 ] 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 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 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 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 274 / 360 ] 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 (55 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (/ (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 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 275 / 360 ] 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 (91 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (285 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ 2 beta) alpha)) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ 2 beta) alpha)) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) 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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ 2 beta) alpha)) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 276 / 360 ] 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 (85 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (232 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 277 / 360 ] 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 (83 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (361 enodes)
* * [misc]simplify:  iters left: 1 (453 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (* alpha beta) 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 (59 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) beta))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 278 / 360 ] 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 (77 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (235 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 279 / 360 ] 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 (62 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (118 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (+ (+ 2 beta) alpha)) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (+ (+ 2 beta) alpha)) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (/ (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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (+ (+ 2 beta) alpha)) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 280 / 360 ] 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 (67 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (221 enodes)
* * [misc]simplify:  iters left: 1 (244 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (* (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ (+ beta 1.0) (* 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 (59 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (* (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (sqrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) beta))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 281 / 360 ] 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 (84 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* * [misc]simplify:  iters left: 2 (436 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (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))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (162 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ 2 (+ beta alpha)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 282 / 360 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (274 enodes)
* * [misc]simplify:  iters left: 1 (288 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha 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 (30 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (162 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 283 / 360 ] 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 (48 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha 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 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 284 / 360 ] 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 (67 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (157 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ 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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 285 / 360 ] 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 (65 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha)))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 286 / 360 ] 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 (64 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) 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)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) beta))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 287 / 360 ] 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 (66 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 288 / 360 ] 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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ 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))))
* * [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 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 289 / 360 ] 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 (59 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta))) (/ (/ (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 (59 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) beta))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 290 / 360 ] 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 (67 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* 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 (+ (+ (* 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 (73 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (162 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ 2 (+ beta alpha)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 291 / 360 ] 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 (61 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (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 (73 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (162 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ alpha (+ beta 2)))) (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 292 / 360 ] 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 (43 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (sqrt (+ (* 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)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 293 / 360 ] 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 (55 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (cbrt (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))) (/ (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (cbrt (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 294 / 360 ] 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 (59 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))) (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 295 / 360 ] 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 (58 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (153 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (cbrt (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (cbrt (+ (+ alpha beta) 2))) (/ (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (cbrt (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 296 / 360 ] 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 (59 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (cbrt (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))) (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (cbrt (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 297 / 360 ] 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 (55 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ 1 (+ (+ beta 2) alpha)) (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ 2 (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 298 / 360 ] 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 (58 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (153 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ 1 (sqrt (+ (+ beta 2) alpha))) (/ (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 299 / 360 ] 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 (74 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (cbrt (+ beta (+ alpha 2)))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ 1 (* (cbrt (+ beta (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha))))) (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (cbrt (+ beta (+ alpha 2)))) (+ beta (+ alpha 2)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 300 / 360 ] 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 (74 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ beta (+ alpha 2)))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ 1 (sqrt (+ (+ 2 alpha) beta))) (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ beta (+ alpha 2)))) (+ beta (+ alpha 2)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 301 / 360 ] 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 (68 enodes)
* * [misc]simplify:  iters left: 3 (190 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* 1 (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 302 / 360 ] 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 (74 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (cbrt (+ beta (+ alpha 2)))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (cbrt (+ beta (+ alpha 2)))) (+ beta (+ alpha 2)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 303 / 360 ] 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 (74 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ beta (+ alpha 2)))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ beta (+ alpha 2)))) (+ beta (+ alpha 2)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 304 / 360 ] 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 (68 enodes)
* * [misc]simplify:  iters left: 3 (190 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* 1 (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 305 / 360 ] 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 (55 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (* (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))))
* * [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 (62 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 306 / 360 ] 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 (52 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ beta (+ alpha 2)))) (/ (/ 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 (62 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ beta (+ alpha 2)))) (/ (/ 1 (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 307 / 360 ] 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 (41 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (88 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (+ (+ (+ beta 1.0) alpha) (* alpha beta))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (/ (/ 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 (134 enodes)
* * [misc]simplify:  iters left: 2 (443 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) alpha) (* alpha beta)) (/ 1 (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 308 / 360 ] 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 (106 enodes)
* * [misc]simplify:  iters left: 3 (250 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ 8 (pow (+ beta alpha) 3))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ 8 (pow (+ beta alpha) 3))) (* (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 (36 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (272 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ 8 (pow (+ beta alpha) 3))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (cbrt (+ (+ beta 2) alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 309 / 360 ] 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 (100 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta)))) (+ 8 (pow (+ beta alpha) 3)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta)))) (+ 8 (pow (+ beta alpha) 3))) (/ (+ (* (+ 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 (36 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (272 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta)))) (+ 8 (pow (+ beta alpha) 3))) (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (sqrt (+ (+ beta 2) alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 310 / 360 ] 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 (91 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (423 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 8 (pow (+ beta alpha) 3)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 8 (pow (+ beta alpha) 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)))) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (273 enodes)
* [exit]simplify:  Simplified to (/ (+ 4 (* (+ beta alpha) (+ (+ beta alpha) -2))) (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 8 (pow (+ beta alpha) 3))) (/ (+ 4 (* (+ beta alpha) (+ (+ beta alpha) -2))) (+ (+ beta 2) alpha))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 311 / 360 ] 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 (118 enodes)
* * [misc]simplify:  iters left: 3 (346 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (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))))
* * [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) (/ (* (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (- beta (- 2 alpha)) (cbrt (+ 2 (+ beta alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 312 / 360 ] 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 (45 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (330 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (+ (* (+ beta alpha) (+ beta alpha)) -4))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (/ (- (+ 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) (/ (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (/ (- beta (- 2 alpha)) (sqrt (+ 2 (+ beta alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 313 / 360 ] 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 (41 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (278 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (- (* (+ beta alpha) (+ beta alpha)) 4))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (- (* (+ 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) (/ (* (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (- (* (+ beta alpha) (+ beta alpha)) 4)) (/ (- alpha (- 2 beta)) (+ 2 (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 314 / 360 ] 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:  [ 315 / 360 ] 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:  [ 316 / 360 ] 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:  [ 317 / 360 ] 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:  [ 318 / 360 ] 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:  [ 319 / 360 ] 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:  [ 320 / 360 ] 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 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (* (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta)))) (/ (+ (+ alpha beta) (* 2 1)) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 321 / 360 ] 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 (52 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ beta (+ alpha 2)))) (/ (+ (+ alpha beta) (* 2 1)) (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 322 / 360 ] 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 (70 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (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:  [ 323 / 360 ] 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 (58 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (* alpha beta) (+ 1.0 (+ 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:  [ 324 / 360 ] 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 (51 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (155 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (* (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (/ (+ (+ alpha beta) (* 2 1)) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 325 / 360 ] 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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (+ (+ alpha beta) (* 2 1)) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 326 / 360 ] 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 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta))) (/ (+ (+ alpha beta) (* 2 1)) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 327 / 360 ] 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 (44 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha 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 / 360 ] 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:  [ 329 / 360 ] 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:  [ 330 / 360 ] 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:  [ 331 / 360 ] 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:  [ 332 / 360 ] 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 (38 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (+ (+ alpha (* alpha beta)) (+ beta 1.0))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (/ (+ (+ alpha beta) (* 2 1)) (/ 1 (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 333 / 360 ] 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 (75 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (387 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (+ 1.0 beta) (* alpha beta)) alpha) (+ 8 (pow (+ beta alpha) 3)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (+ (+ (+ 1.0 beta) (* alpha beta)) alpha) (+ 8 (pow (+ beta alpha) 3))) (/ (+ (+ alpha beta) (* 2 1)) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 334 / 360 ] 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 (92 enodes)
* * [misc]simplify:  iters left: 3 (216 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ -4 (* (+ beta alpha) (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (/ (+ (+ alpha beta) (* 2 1)) (- (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 335 / 360 ] 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 (30 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (261 enodes)
* [exit]simplify:  Simplified to (+ 4 (* (+ beta alpha) (- (+ beta alpha) 2)))
* [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))) (+ 4 (* (+ beta alpha) (- (+ beta alpha) 2)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 336 / 360 ] 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:  [ 337 / 360 ] 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 (38 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (+ (+ alpha (* alpha beta)) (+ beta 1.0))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 338 / 360 ] 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:  [ 339 / 360 ] 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:  [ 340 / 360 ] 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:  [ 341 / 360 ] 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:  [ 342 / 360 ] 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:  [ 343 / 360 ] 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:  [ 344 / 360 ] 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:  [ 345 / 360 ] 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:  [ 346 / 360 ] 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:  [ 347 / 360 ] 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:  [ 348 / 360 ] 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:  [ 349 / 360 ] 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 (14 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (+ 0.5 (* 0.25 (+ alpha beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (+ 0.5 (* 0.25 (+ alpha beta))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 350 / 360 ] 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 (26 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (+ (/ (/ 2.0 alpha) alpha) (- 1 (/ 1.0 alpha)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (+ (/ (/ 2.0 alpha) alpha) (- 1 (/ 1.0 alpha))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 351 / 360 ] 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 (26 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (+ (/ (/ 2.0 alpha) alpha) (- 1 (/ 1.0 alpha)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (+ (/ (/ 2.0 alpha) alpha) (- 1 (/ 1.0 alpha))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 352 / 360 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (- 0.08333333333333333 (* (+ alpha beta) 0.027777777777777776))
* [misc]simplify:  Simplified (2) to (λ (alpha beta) (- 0.08333333333333333 (* (+ alpha beta) 0.027777777777777776)))
* * * * [misc]progress:  [ 353 / 360 ] 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:  [ 354 / 360 ] 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:  [ 355 / 360 ] 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 (47 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (+ (* alpha (- (* beta 0.125) (* alpha 0.0625))) 0.25)
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (+ (* alpha (- (* beta 0.125) (* alpha 0.0625))) 0.25) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))
* * * * [misc]progress:  [ 356 / 360 ] 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:  [ 357 / 360 ] 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:  [ 358 / 360 ] 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:  [ 359 / 360 ] 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:  [ 360 / 360 ] 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) (+ (+ 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 1 1 1 1)
* * * [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) 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) 1.0) in beta
* [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 (+ 2 1.0) into 3.0
* [misc]backup-simplify:  Simplify (+ alpha 3.0) 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) in alpha
* [misc]taylor:  Taking taylor expansion 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) 1.0) in alpha
* [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 (+ 2 1.0) into 3.0
* [misc]backup-simplify:  Simplify (+ beta 3.0) 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) in alpha
* [misc]taylor:  Taking taylor expansion 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) 1.0) in alpha
* [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 (+ 2 1.0) into 3.0
* [misc]backup-simplify:  Simplify (+ beta 3.0) 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 (+ 0 0) into 0
* [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)) 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) 1.0) in beta
* [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 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)) 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) 1.0) in alpha
* [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 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)) 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) 1.0) in alpha
* [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 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 (+ 2 1.0) into 3.0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) 3.0) 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))) 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) 1.0) in beta
* [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 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))) 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) 1.0) in alpha
* [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 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))) 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) 1.0) in alpha
* [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 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 (+ 2 1.0) into 3.0
* [misc]backup-simplify:  Simplify (+ (- (/ 1 beta)) 3.0) 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 1 1 1 1)
* [misc]approximate:  Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) in (alpha beta) around 0
* [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 (+ (+ 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 (+ (+ 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]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [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]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]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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (* beta alpha)) (+ (* 1 (* beta 1)) (* 1 (* 1 alpha)))) into (+ alpha (+ beta (* beta alpha)))
* [misc]approximate:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) in (alpha beta) around 0
* [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 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 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]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]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 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]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in 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 (- (+ (* 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 (* 1 (/ 1 (/ 1 alpha)))) (+ (* 1 (* (/ 1 (/ 1 beta)) 1)) (* 1 (* (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))))) into (+ (* beta alpha) (+ beta alpha))
* [misc]approximate:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in (alpha beta) around 0
* [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 (- 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 (- 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]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]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 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]taylor:  Taking taylor expansion of (- (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (+ (* -1 (* 1 (/ 1 (/ 1 (- alpha))))) (+ (* -1 (* (/ 1 (/ 1 (- beta))) 1)) (* 1 (* (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))))) into (+ (* beta alpha) (+ beta alpha))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 417 ] 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:  [ 2 / 417 ] 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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (- (log (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (log (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (exp (- (log (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (log (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 3 / 417 ] 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:  [ 4 / 417 ] 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:  [ 5 / 417 ] 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 (312 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (+ 2 beta) alpha)) 3)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (cbrt (pow (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (+ 2 beta) alpha)) 3)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 6 / 417 ] 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:  [ 7 / 417 ] 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:  [ 8 / 417 ] 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:  [ 9 / 417 ] 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:  [ 10 / 417 ] 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 (70 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (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 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 11 / 417 ] 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 (58 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (* alpha beta) (+ 1.0 (+ 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 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 12 / 417 ] 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 (51 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (155 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 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)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 13 / 417 ] 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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (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))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (cbrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 14 / 417 ] 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 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta))) (/ (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 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 15 / 417 ] 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 (44 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (/ (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 (52 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 16 / 417 ] 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 (52 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (cbrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (cbrt (+ beta (+ alpha 2))))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 17 / 417 ] 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 (52 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 18 / 417 ] 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 (51 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ 2 beta) alpha))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* 1 (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ 2 beta) alpha))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 19 / 417 ] 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:  [ 20 / 417 ] 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:  [ 21 / 417 ] 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:  [ 22 / 417 ] 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:  [ 23 / 417 ] 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:  [ 24 / 417 ] 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:  [ 25 / 417 ] 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 (40 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (* (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (cbrt (+ (* alpha beta) (+ 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:  [ 26 / 417 ] 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 (39 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (/ (+ (+ alpha beta) (* 2 1)) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 27 / 417 ] 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:  [ 28 / 417 ] 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 (30 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (261 enodes)
* [exit]simplify:  Simplified to (+ 4 (* (+ beta alpha) (- (+ beta alpha) 2)))
* [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))) (+ 4 (* (+ beta alpha) (- (+ beta alpha) 2)))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 29 / 417 ] 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:  [ 30 / 417 ] 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 (59 enodes)
* * [misc]simplify:  iters left: 3 (361 enodes)
* [exit]simplify:  Simplified to (+ (pow 1.0 3) (pow (+ (* alpha beta) (+ beta alpha)) 3))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (+ (pow 1.0 3) (pow (+ (* alpha beta) (+ beta alpha)) 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:  [ 31 / 417 ] 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 (25 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (463 enodes)
* [exit]simplify:  Simplified to (- (* (+ (* alpha beta) (+ beta alpha)) (+ (* alpha beta) (+ beta alpha))) (* 1.0 1.0))
* [misc]simplify:  Simplified (2 1 1 1) to (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))))
* * * * [misc]progress:  [ 32 / 417 ] 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:  [ 33 / 417 ] 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 (47 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (229 enodes)
* * [misc]simplify:  iters left: 2 (419 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (+ beta alpha) (+ (* alpha beta) 1.0))) (log (+ (+ alpha 2) (+ beta 1.0)))) (+ (log (+ (+ beta 2) alpha)) (log (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (exp (- (- (log (+ (+ beta alpha) (+ (* alpha beta) 1.0))) (log (+ (+ alpha 2) (+ beta 1.0)))) (+ (log (+ (+ beta 2) alpha)) (log (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 34 / 417 ] 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* * [misc]simplify:  iters left: 2 (426 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (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 (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (log (+ (+ alpha 2) (+ beta 1.0)))) (+ (log (+ 2 (+ beta alpha))) (log (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 35 / 417 ] 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (374 enodes)
* [exit]simplify:  Simplified to (- (log (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)))) (log (+ (+ 1.0 alpha) (+ 2 beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (exp (- (log (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)))) (log (+ (+ 1.0 alpha) (+ 2 beta))))))
* * * * [misc]progress:  [ 36 / 417 ] 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:  [ 37 / 417 ] 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:  [ 38 / 417 ] 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 (22 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ 2 alpha) beta)) (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ 2 alpha) beta))) (/ (* (pow (+ (+ beta alpha) (+ 1.0 2)) 3) (pow (+ (+ 2 alpha) beta) 3)) (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ 2 alpha) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (cbrt (/ (* (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ 2 alpha) beta)) (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ 2 alpha) beta))) (/ (* (pow (+ (+ beta alpha) (+ 1.0 2)) 3) (pow (+ (+ 2 alpha) beta) 3)) (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ 2 alpha) beta))))))
* * * * [misc]progress:  [ 39 / 417 ] 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 (22 enodes)
* * [misc]simplify:  iters left: 5 (85 enodes)
* * [misc]simplify:  iters left: 4 (480 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ 2 (+ beta alpha))) (* (* (+ (+ beta 1.0) (+ alpha 2)) (+ (+ beta 1.0) (+ alpha 2))) (* (+ (+ beta 1.0) (+ alpha 2)) (+ 2 (+ beta alpha))))) (* (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (cbrt (* (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ 2 (+ beta alpha))) (* (* (+ (+ beta 1.0) (+ alpha 2)) (+ (+ beta 1.0) (+ alpha 2))) (* (+ (+ beta 1.0) (+ alpha 2)) (+ 2 (+ beta alpha))))) (* (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 40 / 417 ] 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (68 enodes)
* * [misc]simplify:  iters left: 4 (325 enodes)
* [exit]simplify:  Simplified to (pow (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ beta alpha) (+ 2 1.0))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha))) 3)
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (cbrt (pow (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (+ (+ beta alpha) (+ 2 1.0))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha))) 3)))
* * * * [misc]progress:  [ 41 / 417 ] 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:  [ 42 / 417 ] 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:  [ 43 / 417 ] 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:  [ 44 / 417 ] 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:  [ 45 / 417 ] 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (354 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))))) (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (332 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))))
* * * * [misc]progress:  [ 46 / 417 ] 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (336 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))) (sqrt (+ (+ alpha 2) (+ 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (332 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)))) (cbrt (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))
* * * * [misc]progress:  [ 47 / 417 ] 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 (79 enodes)
* * [misc]simplify:  iters left: 3 (204 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ (* alpha beta) 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (326 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (+ (+ beta 2) (+ 1.0 alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha))))) (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (+ (+ beta 2) (+ 1.0 alpha)))))
* * * * [misc]progress:  [ 48 / 417 ] 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 (79 enodes)
* * [misc]simplify:  iters left: 3 (204 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ (* alpha beta) 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (326 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (+ (+ beta 2) (+ 1.0 alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)))) (cbrt (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha))))) (/ (cbrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (+ (+ beta 2) (+ 1.0 alpha)))))
* * * * [misc]progress:  [ 49 / 417 ] 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (331 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (332 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))))
* * * * [misc]progress:  [ 50 / 417 ] 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (332 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (sqrt (+ (+ 1.0 alpha) (+ beta 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (332 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))
* * * * [misc]progress:  [ 51 / 417 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 3 (196 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (326 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (+ (+ beta 2) (+ 1.0 alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (+ (+ beta 2) (+ 1.0 alpha)))))
* * * * [misc]progress:  [ 52 / 417 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 3 (196 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (326 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (+ (+ beta 2) (+ 1.0 alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (/ (sqrt (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (+ (+ beta 2) (+ 1.0 alpha)))))
* * * * [misc]progress:  [ 53 / 417 ] 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 (22 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* * [misc]simplify:  iters left: 2 (374 enodes)
* * [misc]simplify:  iters left: 1 (452 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ (+ alpha 2) beta))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 54 / 417 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (257 enodes)
* * [misc]simplify:  iters left: 1 (292 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ beta (+ alpha 2)))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 55 / 417 ] 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 (84 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (356 enodes)
* * [misc]simplify:  iters left: 1 (438 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ 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)))) (+ (+ 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 (86 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* * [misc]simplify:  iters left: 1 (461 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (+ (+ beta alpha) (+ 2 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (+ (+ beta alpha) (+ 2 1.0))))))
* * * * [misc]progress:  [ 56 / 417 ] 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 (84 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (356 enodes)
* * [misc]simplify:  iters left: 1 (438 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ 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)))) (+ (+ 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 (86 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* * [misc]simplify:  iters left: 1 (461 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (+ (+ beta alpha) (+ 2 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) (/ (cbrt (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (+ (+ beta alpha) (+ 2 1.0))))))
* * * * [misc]progress:  [ 57 / 417 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (46 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 (300 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta)))) (* (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 58 / 417 ] 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (203 enodes)
* * [misc]simplify:  iters left: 1 (220 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ alpha (+ 2 beta)))) (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ alpha (+ 2 beta)))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ alpha (+ 2 beta)))) (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ alpha (+ 2 beta)))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ alpha (+ 2 beta)))) (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ alpha (+ 2 beta)))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 59 / 417 ] 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 (68 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (221 enodes)
* * [misc]simplify:  iters left: 1 (254 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta)))) (/ (/ (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* * [misc]simplify:  iters left: 1 (461 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ beta alpha) (+ 2 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ beta alpha) (+ 2 1.0))))))
* * * * [misc]progress:  [ 60 / 417 ] 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 (68 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (221 enodes)
* * [misc]simplify:  iters left: 1 (254 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta)))) (/ (/ (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* * [misc]simplify:  iters left: 1 (461 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ beta alpha) (+ 2 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (/ (cbrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ beta alpha) (+ 2 1.0))))))
* * * * [misc]progress:  [ 61 / 417 ] 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (198 enodes)
* * [misc]simplify:  iters left: 2 (316 enodes)
* * [misc]simplify:  iters left: 1 (376 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ alpha (+ beta 2)))) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ alpha (+ beta 2)))) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ alpha (+ beta 2)))) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ alpha (+ beta 2)))) (cbrt (+ (+ 1.0 alpha) (+ beta 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (226 enodes)
* * [misc]simplify:  iters left: 1 (255 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ alpha (+ beta 2)))) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ alpha (+ beta 2)))) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 62 / 417 ] 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (190 enodes)
* * [misc]simplify:  iters left: 2 (312 enodes)
* * [misc]simplify:  iters left: 1 (365 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2))))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2))))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (/ (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (226 enodes)
* * [misc]simplify:  iters left: 1 (255 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (cbrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2))))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 63 / 417 ] 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 (59 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (426 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ alpha (+ beta 2)))) (* (+ (+ beta 1.0) (+ alpha 2)) (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha)))) (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ alpha (+ beta 2)))) (* (+ (+ beta 1.0) (+ alpha 2)) (+ alpha (+ beta 2))))))
* * * * [misc]progress:  [ 64 / 417 ] 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 (59 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (426 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ alpha (+ beta 2)))) (* (+ (+ beta 1.0) (+ alpha 2)) (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha)))) (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ alpha (+ beta 2)))) (* (+ (+ beta 1.0) (+ alpha 2)) (+ alpha (+ beta 2))))))
* * * * [misc]progress:  [ 65 / 417 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (229 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ alpha (+ beta 2)))) (* (* (cbrt (+ (+ 2 1.0) (+ beta alpha))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ (+ 2 1.0) (+ beta alpha))) (cbrt (+ alpha (+ beta 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ alpha (+ beta 2)))) (* (* (cbrt (+ (+ 2 1.0) (+ beta alpha))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ (+ 2 1.0) (+ beta alpha))) (cbrt (+ alpha (+ beta 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ alpha (+ beta 2)))) (* (* (cbrt (+ (+ 2 1.0) (+ beta alpha))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ (+ 2 1.0) (+ beta alpha))) (cbrt (+ alpha (+ beta 2)))))) (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 66 / 417 ] 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (192 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ alpha (+ 2 beta)))) (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ alpha (+ 2 beta)))) (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ alpha (+ 2 beta)))) (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 67 / 417 ] 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 (65 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* * [misc]simplify:  iters left: 1 (461 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (+ (+ beta alpha) (+ 2 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (+ (+ beta alpha) (+ 2 1.0))))))
* * * * [misc]progress:  [ 68 / 417 ] 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 (65 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* * [misc]simplify:  iters left: 1 (461 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (+ (+ beta alpha) (+ 2 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (+ (+ beta alpha) (+ 2 1.0))))))
* * * * [misc]progress:  [ 69 / 417 ] 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (177 enodes)
* * [misc]simplify:  iters left: 1 (197 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ alpha (+ 2 beta)))) (* (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ alpha (+ 2 beta)))) (* (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ alpha (+ 2 beta))))) (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ alpha (+ 2 beta)))) (* (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 70 / 417 ] 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ 2 (+ beta 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (/ (+ (+ (* alpha beta) (+ 1.0 alpha)) beta) (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 71 / 417 ] 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (+ 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* * [misc]simplify:  iters left: 1 (461 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ beta alpha) (+ 2 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))) (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ beta alpha) (+ 2 1.0))))))
* * * * [misc]progress:  [ 72 / 417 ] 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (+ 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* * [misc]simplify:  iters left: 1 (461 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ beta alpha) (+ 2 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))) (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ beta alpha) (+ 2 1.0))))))
* * * * [misc]progress:  [ 73 / 417 ] 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (196 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ alpha (+ beta 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ alpha (+ beta 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (226 enodes)
* * [misc]simplify:  iters left: 1 (255 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ alpha (+ beta 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ 2 (+ beta alpha)))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 74 / 417 ] 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (137 enodes)
* * [misc]simplify:  iters left: 2 (172 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (/ (/ (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (226 enodes)
* * [misc]simplify:  iters left: 1 (255 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ beta (+ alpha 2)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ 2 (+ beta alpha)))) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 75 / 417 ] 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 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (426 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ alpha (+ beta 2)))) (* (+ (+ beta 1.0) (+ alpha 2)) (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ alpha (+ beta 2)))) (* (+ (+ beta 1.0) (+ alpha 2)) (+ alpha (+ beta 2))))))
* * * * [misc]progress:  [ 76 / 417 ] 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 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (426 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ alpha (+ beta 2)))) (* (+ (+ beta 1.0) (+ alpha 2)) (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ alpha (+ beta 2)))) (* (+ (+ beta 1.0) (+ alpha 2)) (+ alpha (+ beta 2))))))
* * * * [misc]progress:  [ 77 / 417 ] 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 (22 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (141 enodes)
* * [misc]simplify:  iters left: 3 (317 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (cbrt (+ beta (+ alpha 2))) (+ beta (+ alpha 2)))) (/ (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (cbrt (+ beta (+ alpha 2))) (+ beta (+ alpha 2)))) (/ (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (196 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ alpha (+ beta 2))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (cbrt (+ beta (+ alpha 2))) (+ beta (+ alpha 2)))) (/ (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ alpha (+ beta 2))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))))
* * * * [misc]progress:  [ 78 / 417 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* * [misc]simplify:  iters left: 3 (263 enodes)
* * [misc]simplify:  iters left: 2 (450 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (+ (+ 2 beta) alpha) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (+ (+ 2 beta) alpha) (cbrt (+ (* alpha beta) (+ alpha (+ beta 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) (* 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 (42 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (196 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ alpha (+ beta 2))) (* (cbrt (+ alpha (+ beta 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (+ (+ 2 beta) alpha) (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ alpha (+ beta 2))) (* (cbrt (+ alpha (+ beta 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))))))
* * * * [misc]progress:  [ 79 / 417 ] 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 (105 enodes)
* * [misc]simplify:  iters left: 3 (249 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2))))) (/ (/ (/ (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (355 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 80 / 417 ] 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 (105 enodes)
* * [misc]simplify:  iters left: 3 (249 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2))))) (/ (/ (/ (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (355 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 81 / 417 ] 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 (23 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* * [misc]simplify:  iters left: 3 (289 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))) (/ (/ (/ (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 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (204 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (sqrt (+ alpha (+ beta 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (sqrt (+ alpha (+ beta 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))))
* * * * [misc]progress:  [ 82 / 417 ] 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 (22 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (242 enodes)
* * [misc]simplify:  iters left: 2 (393 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 2 beta) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 2 beta) (+ 1.0 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (204 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (sqrt (+ alpha (+ beta 2)))) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (* (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))) (* (sqrt (+ alpha (+ 2 beta))) (sqrt (+ (+ 2 beta) (+ 1.0 alpha)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (sqrt (+ alpha (+ beta 2)))) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))))
* * * * [misc]progress:  [ 83 / 417 ] 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 (94 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (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)))) (+ (+ 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 (92 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (337 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 84 / 417 ] 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 (94 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (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)))) (+ (+ 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 (92 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (337 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 85 / 417 ] 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 (22 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (137 enodes)
* * [misc]simplify:  iters left: 3 (316 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (228 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (+ (+ beta 2) alpha))) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ alpha (+ 2 beta))))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (+ (+ beta 2) alpha))) (cbrt (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 86 / 417 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* * [misc]simplify:  iters left: 3 (251 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (228 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (+ (+ beta 2) alpha))) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (+ (+ beta 2) alpha))) (cbrt (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 87 / 417 ] 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 (84 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (356 enodes)
* * [misc]simplify:  iters left: 1 (437 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (465 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 88 / 417 ] 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 (84 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (356 enodes)
* * [misc]simplify:  iters left: 1 (437 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (465 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 89 / 417 ] 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 (23 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (/ (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (/ (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 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)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (204 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (/ (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ alpha (+ beta 2)))))))
* * * * [misc]progress:  [ 90 / 417 ] 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 (22 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* * [misc]simplify:  iters left: 2 (373 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ 1.0 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (204 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (+ alpha (+ beta 2)))) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (+ alpha (+ beta 2)))) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ alpha (+ beta 2)))))))
* * * * [misc]progress:  [ 91 / 417 ] 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 (85 enodes)
* * [misc]simplify:  iters left: 3 (188 enodes)
* * [misc]simplify:  iters left: 2 (461 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) beta))))) (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (337 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 92 / 417 ] 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 (85 enodes)
* * [misc]simplify:  iters left: 3 (188 enodes)
* * [misc]simplify:  iters left: 2 (461 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) beta))))) (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (337 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (* (cbrt (+ (+ alpha 2) beta)) (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 93 / 417 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (318 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha))))) (* (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha))))) (* (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (+ 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (209 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha)))) (cbrt (+ beta (+ (* alpha beta) (+ 1.0 alpha))))) (* (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (+ beta (+ alpha 2)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 94 / 417 ] 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (239 enodes)
* * [misc]simplify:  iters left: 1 (315 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (* (sqrt (+ (+ 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)))) (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (209 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (+ beta (+ alpha 2)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 95 / 417 ] 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 (69 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (222 enodes)
* * [misc]simplify:  iters left: 1 (332 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (+ (+ 2 beta) alpha)) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (+ (+ 2 beta) alpha)) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (/ (/ (/ (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (383 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (+ (+ 2 beta) alpha)) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 96 / 417 ] 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 (69 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (222 enodes)
* * [misc]simplify:  iters left: 1 (332 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (+ (+ 2 beta) alpha)) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (+ (+ 2 beta) alpha)) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (/ (/ (/ (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (383 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (+ (+ 2 beta) alpha)) (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 97 / 417 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (234 enodes)
* * [misc]simplify:  iters left: 2 (493 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (228 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 98 / 417 ] 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (321 enodes)
* * [misc]simplify:  iters left: 1 (393 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (228 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (+ alpha (+ 2 beta)))))) (/ (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 99 / 417 ] 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 (68 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (223 enodes)
* * [misc]simplify:  iters left: 1 (257 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ 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))) (+ (+ alpha beta) (+ (* 2 1) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (465 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)) (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 100 / 417 ] 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 (68 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (223 enodes)
* * [misc]simplify:  iters left: 1 (257 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ 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))) (+ (+ alpha beta) (+ (* 2 1) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (465 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)) (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 101 / 417 ] 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 (22 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* * [misc]simplify:  iters left: 3 (323 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta alpha) (+ (* alpha beta) 1.0))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ beta alpha) (+ (* alpha beta) 1.0))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta alpha) (+ (* alpha beta) 1.0))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ beta alpha) (+ (* alpha beta) 1.0))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (335 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta alpha) (+ (* alpha beta) 1.0))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ beta alpha) (+ (* alpha beta) 1.0))) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))))) (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 102 / 417 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (282 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))) (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (335 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (cbrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))) (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 103 / 417 ] 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 (92 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (354 enodes)
* * [misc]simplify:  iters left: 1 (428 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (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)))) (+ (+ alpha beta) (+ (* 2 1) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (238 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 104 / 417 ] 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 (92 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* * [misc]simplify:  iters left: 2 (354 enodes)
* * [misc]simplify:  iters left: 1 (428 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (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)))) (+ (+ alpha beta) (+ (* 2 1) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (238 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))) (/ (cbrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 105 / 417 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (264 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta)))) (* (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta)))) (* (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (cbrt (+ (+ 1.0 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (335 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (cbrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta)))) (* (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 106 / 417 ] 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (230 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))) (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (335 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 107 / 417 ] 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 (78 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (325 enodes)
* * [misc]simplify:  iters left: 1 (338 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (/ (cbrt (+ (+ 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)))) (+ (+ alpha beta) (+ (* 2 1) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (238 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 108 / 417 ] 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 (78 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (325 enodes)
* * [misc]simplify:  iters left: 1 (338 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (/ (cbrt (+ (+ 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)))) (+ (+ alpha beta) (+ (* 2 1) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (238 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 109 / 417 ] 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 (100 enodes)
* * [misc]simplify:  iters left: 3 (216 enodes)
* * [misc]simplify:  iters left: 2 (454 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ 2 alpha)))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ 2 alpha)))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (/ (/ (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* * [misc]simplify:  iters left: 3 (399 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ 2 alpha)))) (/ (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ 2 alpha))))) (/ (cbrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 110 / 417 ] 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 (88 enodes)
* * [misc]simplify:  iters left: 3 (176 enodes)
* * [misc]simplify:  iters left: 2 (305 enodes)
* * [misc]simplify:  iters left: 1 (331 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* * [misc]simplify:  iters left: 3 (399 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (/ (cbrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 111 / 417 ] 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 (51 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (120 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (+ (+ 1.0 2) (+ beta alpha)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (+ (+ 1.0 2) (+ beta alpha)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 112 / 417 ] 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 (51 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (* (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (120 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (+ (+ 1.0 2) (+ beta alpha)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (* (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (/ (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (+ (+ 1.0 2) (+ beta alpha)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 113 / 417 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (300 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta)))) (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (196 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ alpha (+ beta 2))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ alpha (+ beta 2))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))))
* * * * [misc]progress:  [ 114 / 417 ] 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (226 enodes)
* * [misc]simplify:  iters left: 1 (358 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (+ alpha (+ beta 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (196 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ alpha (+ beta 2))) (* (cbrt (+ alpha (+ beta 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (+ alpha (+ beta 2)))) (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ alpha (+ beta 2))) (* (cbrt (+ alpha (+ beta 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))))))
* * * * [misc]progress:  [ 115 / 417 ] 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 (79 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (253 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ 2 (+ beta alpha))) (+ 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (355 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 116 / 417 ] 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 (79 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (253 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ 2 (+ beta alpha))) (+ 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* * [misc]simplify:  iters left: 2 (355 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (cbrt (+ 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 117 / 417 ] 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 (22 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (281 enodes)
* * [misc]simplify:  iters left: 1 (364 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (+ 2 (+ beta alpha))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (+ 2 (+ beta alpha))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 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)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (204 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (sqrt (+ alpha (+ beta 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (+ 2 (+ beta alpha))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (sqrt (+ alpha (+ beta 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))))
* * * * [misc]progress:  [ 118 / 417 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (231 enodes)
* * [misc]simplify:  iters left: 1 (267 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (* (cbrt (+ alpha (+ beta 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (* (cbrt (+ alpha (+ beta 2))) (sqrt (+ (+ beta alpha) (+ 1.0 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (204 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (sqrt (+ alpha (+ beta 2)))) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (sqrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (* (cbrt (+ alpha (+ beta 2))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (sqrt (+ alpha (+ beta 2)))) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))))
* * * * [misc]progress:  [ 119 / 417 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (119 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (209 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta))) (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (337 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta))) (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 120 / 417 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (119 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (209 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta))) (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (337 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta))) (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (+ (+ 1.0 2) (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 121 / 417 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (249 enodes)
* * [misc]simplify:  iters left: 1 (286 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (228 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (+ (+ beta 2) alpha))) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))) (* (cbrt (+ (+ beta 2) (+ 1.0 alpha))) (cbrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (+ (+ beta 2) alpha))) (cbrt (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 122 / 417 ] 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (207 enodes)
* * [misc]simplify:  iters left: 1 (235 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ beta 1.0) (+ 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (228 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (+ (+ beta 2) alpha))) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (+ (+ beta 2) alpha))) (cbrt (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 123 / 417 ] 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 (65 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (465 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 124 / 417 ] 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 (65 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (465 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 125 / 417 ] 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 (22 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (279 enodes)
* * [misc]simplify:  iters left: 1 (370 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (+ (+ beta 2) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (+ (+ beta 2) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha 2) (+ beta 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) 1.0))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (204 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0))))) (* (sqrt (+ (+ beta 2) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ alpha (+ beta 2)))))))
* * * * [misc]progress:  [ 126 / 417 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (270 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (/ (/ (/ (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 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (204 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (+ alpha (+ beta 2)))) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (cbrt (+ alpha (+ beta 2)))) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ alpha (+ beta 2)))))))
* * * * [misc]progress:  [ 127 / 417 ] 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 (74 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (337 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 128 / 417 ] 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 (74 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (337 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (* (sqrt (+ (+ alpha 2) beta)) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (+ (+ 1.0 2) (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 129 / 417 ] 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* * [misc]simplify:  iters left: 2 (240 enodes)
* * [misc]simplify:  iters left: 1 (365 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (+ beta (+ alpha 2)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (+ beta (+ alpha 2)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (209 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (+ beta (+ alpha 2)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 130 / 417 ] 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (209 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (+ 2 (+ beta alpha)))) (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (209 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (+ 2 (+ beta alpha)))) (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 131 / 417 ] 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 (62 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (148 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (+ (+ beta 2) 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)))) (+ (+ alpha beta) (+ (* 2 1) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (383 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (+ (+ beta 2) alpha)) (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 132 / 417 ] 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 (62 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (148 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (+ (+ beta 2) 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)))) (+ (+ alpha beta) (+ (* 2 1) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (383 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (+ (+ beta 2) alpha)) (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 133 / 417 ] 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* * [misc]simplify:  iters left: 2 (221 enodes)
* * [misc]simplify:  iters left: 1 (247 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (+ alpha (+ beta 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (228 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 134 / 417 ] 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (180 enodes)
* * [misc]simplify:  iters left: 1 (201 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ beta alpha) (+ 1.0 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (228 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (+ (+ beta 2) alpha))) (sqrt (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 135 / 417 ] 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (465 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)) (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 136 / 417 ] 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (465 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)) (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 137 / 417 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (317 enodes)
* * [misc]simplify:  iters left: 1 (355 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (335 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ 1.0 (+ (* alpha beta) (+ beta alpha)))) (* (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 138 / 417 ] 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* * [misc]simplify:  iters left: 2 (221 enodes)
* * [misc]simplify:  iters left: 1 (237 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (335 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))) (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (cbrt (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 139 / 417 ] 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 (74 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (141 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (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)))) (+ (+ alpha beta) (+ (* 2 1) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (238 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 140 / 417 ] 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 (74 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (141 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (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)))) (+ (+ alpha beta) (+ (* 2 1) 1.0)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (238 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 141 / 417 ] 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (160 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (237 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (+ alpha (+ beta 2))))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (+ alpha (+ beta 2))))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (/ (/ (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (335 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (sqrt (+ alpha (+ beta 2))))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (* (cbrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 142 / 417 ] 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ alpha (+ beta 2))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ alpha (+ beta 2))) (sqrt (+ (+ alpha 2) (+ beta 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* * [misc]simplify:  iters left: 2 (335 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (sqrt (+ alpha (+ beta 2))) (sqrt (+ (+ alpha 2) (+ beta 1.0))))) (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (* (* (sqrt (+ (+ alpha 2) (+ beta 1.0))) (sqrt (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta)))))
* * * * [misc]progress:  [ 143 / 417 ] 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 (66 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (238 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 144 / 417 ] 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 (66 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (238 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (* (* (+ (+ 1.0 alpha) (+ beta 2)) (+ beta (+ alpha 2))) (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 145 / 417 ] 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 (130 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* * [misc]simplify:  iters left: 3 (399 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (sqrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 146 / 417 ] 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 (125 enodes)
* * [misc]simplify:  iters left: 2 (160 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* * [misc]simplify:  iters left: 3 (399 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (sqrt (+ alpha (+ (* alpha beta) (+ beta 1.0)))) (* (sqrt (+ (+ 1.0 2) (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 147 / 417 ] 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 (46 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (sqrt (+ (* 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (+ (+ 1.0 2) (+ beta alpha)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (+ (+ 1.0 2) (+ beta alpha)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 148 / 417 ] 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 (46 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (sqrt (+ (* 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (+ (+ 1.0 2) (+ beta alpha)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (* (+ (+ 1.0 2) (+ beta alpha)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 149 / 417 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (480 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha beta) 2)))) (/ (/ (/ (+ (+ (+ 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (cbrt (+ (+ 2 1.0) (+ beta alpha)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ alpha beta) 2)))) (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (cbrt (+ (+ 2 1.0) (+ beta alpha)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))))
* * * * [misc]progress:  [ 150 / 417 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (171 enodes)
* * [misc]simplify:  iters left: 1 (303 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (+ (+ beta 2) alpha))) (/ (/ (/ (+ (+ (+ 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (sqrt (+ (+ beta 2) (+ 1.0 alpha))) (+ (+ beta 2) alpha))) (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))))
* * * * [misc]progress:  [ 151 / 417 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (188 enodes)
* * [misc]simplify:  iters left: 2 (353 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (cbrt (+ (+ 2 beta) alpha))) (* (+ (+ 2 beta) (+ 1.0 alpha)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))) (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (cbrt (+ (+ 2 beta) alpha))) (* (+ (+ 2 beta) (+ 1.0 alpha)) (cbrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 152 / 417 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (188 enodes)
* * [misc]simplify:  iters left: 2 (353 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (cbrt (+ (+ 2 beta) alpha))) (* (+ (+ 2 beta) (+ 1.0 alpha)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))) (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (cbrt (+ (+ 2 beta) alpha))) (* (+ (+ 2 beta) (+ 1.0 alpha)) (cbrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 153 / 417 ] 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* * [misc]simplify:  iters left: 2 (209 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (209 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ alpha beta) 2))))) (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))))
* * * * [misc]progress:  [ 154 / 417 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (160 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (* (sqrt (+ (+ alpha beta) 2)) (* (sqrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (* (sqrt (+ (+ alpha beta) 2)) (* (sqrt (+ (+ 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)))) (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (209 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (* (sqrt (+ (+ alpha beta) 2)) (* (sqrt (+ (+ alpha beta) (+ 1.0 2))) (cbrt (+ (+ alpha beta) 2))))) (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ 2 (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))))
* * * * [misc]progress:  [ 155 / 417 ] 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (194 enodes)
* * [misc]simplify:  iters left: 2 (361 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (+ (+ alpha 2) (+ beta 1.0))))))
* * * * [misc]progress:  [ 156 / 417 ] 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (194 enodes)
* * [misc]simplify:  iters left: 2 (361 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (sqrt (+ beta (+ alpha 2)))) (* (cbrt (+ beta (+ alpha 2))) (+ (+ alpha 2) (+ beta 1.0))))))
* * * * [misc]progress:  [ 157 / 417 ] 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 (17 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 (195 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (* (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (/ (/ (+ (+ (+ 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (231 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))))) (/ (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (+ alpha (+ beta 2))))))
* * * * [misc]progress:  [ 158 / 417 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (135 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 2) alpha)))) (/ (/ (/ (+ (+ (+ 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (231 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (cbrt (+ alpha (+ beta 2)))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ beta 2) alpha))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 2) alpha)))) (/ (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (cbrt (+ alpha (+ beta 2)))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (+ alpha (+ beta 2))))))
* * * * [misc]progress:  [ 159 / 417 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (476 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (+ (+ 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)))) (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 160 / 417 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (476 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (+ (+ 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)))) (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 161 / 417 ] 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (212 enodes)
* * [misc]simplify:  iters left: 1 (291 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ beta (+ alpha 2)))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ alpha beta) (+ 1.0 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ alpha beta) (+ 1.0 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ beta (+ alpha 2)))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ alpha beta) (+ 1.0 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ alpha beta) (+ 1.0 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (209 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ beta (+ alpha 2)))) (* (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ alpha beta) (+ 1.0 2)))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ (+ alpha beta) (+ 1.0 2)))))) (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))))
* * * * [misc]progress:  [ 162 / 417 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (113 enodes)
* * [misc]simplify:  iters left: 2 (155 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (* (* (cbrt (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2))) (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (* (* (cbrt (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2))) (cbrt (+ (+ alpha beta) 2)))) (/ (/ (/ (+ (+ (+ 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (209 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ alpha beta) (+ 1.0 2)))) (* (* (cbrt (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2))) (cbrt (+ (+ alpha beta) 2)))) (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))))
* * * * [misc]progress:  [ 163 / 417 ] 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (194 enodes)
* * [misc]simplify:  iters left: 2 (361 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (cbrt (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (cbrt (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ alpha 2) (+ beta 1.0))))))
* * * * [misc]progress:  [ 164 / 417 ] 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (194 enodes)
* * [misc]simplify:  iters left: 2 (361 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (cbrt (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (cbrt (+ beta (+ alpha 2)))) (* (sqrt (+ beta (+ alpha 2))) (+ (+ alpha 2) (+ beta 1.0))))))
* * * * [misc]progress:  [ 165 / 417 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) (+ alpha 1.0)))) (cbrt (+ (+ beta 2) (+ alpha 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) (+ alpha 1.0)))) (cbrt (+ (+ beta 2) (+ alpha 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 (/ (/ (/ (+ (+ (+ 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 (41 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* * [misc]simplify:  iters left: 1 (262 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (cbrt (+ (+ 2 1.0) (+ beta alpha)))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) (+ alpha 1.0)))) (cbrt (+ (+ beta 2) (+ alpha 1.0)))) (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (cbrt (+ (+ 2 1.0) (+ beta alpha)))) (+ beta (+ alpha 2)))))
* * * * [misc]progress:  [ 166 / 417 ] 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 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (162 enodes)
* * [misc]simplify:  iters left: 1 (227 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) (+ 2 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) (+ 2 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 (/ (/ (/ (+ (+ (+ 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 (41 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* * [misc]simplify:  iters left: 1 (262 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) (+ 2 1.0)))) (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (+ beta (+ alpha 2)))))
* * * * [misc]progress:  [ 167 / 417 ] 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)
* [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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (190 enodes)
* * [misc]simplify:  iters left: 2 (384 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ (+ beta 2) alpha) (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (+ (+ alpha beta) 2)) (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ (+ beta 2) alpha) (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 168 / 417 ] 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)
* [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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (190 enodes)
* * [misc]simplify:  iters left: 2 (384 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ (+ beta 2) alpha) (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (+ (+ alpha beta) 2)) (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (* (+ (+ beta 2) alpha) (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 169 / 417 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (+ (+ alpha beta) (+ 2 1.0)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ alpha beta) (+ 2 1.0)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha beta) (+ 2 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 (/ (/ (/ (+ (+ (+ 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 (41 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (231 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ alpha (+ beta 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ alpha beta) (+ 2 1.0)))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ alpha (+ beta 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (+ alpha (+ beta 2))))))
* * * * [misc]progress:  [ 170 / 417 ] 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 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (154 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (* (sqrt (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) (+ 2 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 (/ (/ (/ (+ (+ (+ 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 (41 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (231 enodes)
* * [misc]simplify:  iters left: 2 (366 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ alpha (+ beta 2)))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (sqrt (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (/ (+ (+ 1.0 alpha) (+ (* alpha beta) beta)) (sqrt (+ alpha (+ beta 2)))) (* (sqrt (+ (+ 1.0 alpha) (+ 2 beta))) (+ alpha (+ beta 2))))))
* * * * [misc]progress:  [ 171 / 417 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (476 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (+ (+ 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))) (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)) (sqrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 172 / 417 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (476 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (+ (+ 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))) (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)) (sqrt (+ (+ 2 beta) alpha))))))
* * * * [misc]progress:  [ 173 / 417 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 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 (156 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (* (cbrt (+ (+ alpha 1.0) (+ beta 2))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ (+ alpha 1.0) (+ beta 2))) (cbrt (+ alpha (+ beta 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (* (* (cbrt (+ (+ alpha 1.0) (+ beta 2))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ (+ alpha 1.0) (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))) (/ (/ (/ (+ (+ (+ 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (201 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (* (cbrt (+ (+ alpha 1.0) (+ beta 2))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ (+ alpha 1.0) (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 174 / 417 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (131 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ alpha 1.0) (+ beta 2)))) (* (cbrt (+ beta (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ alpha 1.0) (+ beta 2)))) (* (cbrt (+ beta (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha))))) (/ (/ (/ (+ (+ (+ 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (201 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ alpha 1.0) (+ beta 2)))) (* (cbrt (+ beta (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha))))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 175 / 417 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (236 enodes)
* * [misc]simplify:  iters left: 2 (487 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ beta (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha))))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 176 / 417 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (236 enodes)
* * [misc]simplify:  iters left: 2 (487 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ beta (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha))))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 177 / 417 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ beta (+ 2 alpha))))) (/ (/ (/ (+ (+ (+ 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (201 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ beta (+ alpha 2)) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ beta (+ 2 alpha))))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ beta (+ alpha 2)) (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 178 / 417 ] 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 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ beta 2) (+ 1.0 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (201 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ beta (+ alpha 2)) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ beta (+ alpha 2)) (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 179 / 417 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (236 enodes)
* * [misc]simplify:  iters left: 2 (487 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (sqrt (+ beta (+ 2 alpha)))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 180 / 417 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (236 enodes)
* * [misc]simplify:  iters left: 2 (487 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (sqrt (+ beta (+ 2 alpha)))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 181 / 417 ] 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 (46 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ (+ alpha 1.0) (+ beta 2))) (cbrt (+ (+ alpha 1.0) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ alpha 1.0) (+ beta 2))) (cbrt (+ (+ alpha 1.0) (+ beta 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* * [misc]simplify:  iters left: 3 (396 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ alpha 1.0) (+ beta 2))) (cbrt (+ (+ alpha 1.0) (+ beta 2))))) (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 182 / 417 ] 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 (43 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ alpha beta) (+ 2 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ alpha beta) (+ 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* * [misc]simplify:  iters left: 3 (396 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ alpha beta) (+ 2 1.0)))) (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 183 / 417 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (+ (+ 2 1.0) (+ beta alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* 1 (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (+ (+ 2 1.0) (+ beta alpha)))))
* * * * [misc]progress:  [ 184 / 417 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (+ (+ 2 1.0) (+ beta alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* 1 (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (+ (+ 2 1.0) (+ beta alpha)))))
* * * * [misc]progress:  [ 185 / 417 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha beta) (+ 2 1.0))))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha beta) (+ 2 1.0))))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha beta) (+ 2 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 (/ (/ (/ (+ (+ (+ 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 (41 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (201 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha beta) (+ 2 1.0))))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 186 / 417 ] 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 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) (+ 2 1.0)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) (+ 2 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 (/ (/ (/ (+ (+ (+ 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 (41 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (201 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) (+ 2 1.0))))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ beta (+ alpha 2)) (cbrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 187 / 417 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (236 enodes)
* * [misc]simplify:  iters left: 2 (487 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (cbrt (+ (+ alpha beta) 2))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 188 / 417 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (236 enodes)
* * [misc]simplify:  iters left: 2 (487 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (cbrt (+ (+ alpha beta) 2))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 189 / 417 ] 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 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (136 enodes)
* * [misc]simplify:  iters left: 1 (155 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ 1.0 beta) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ 1.0 beta) (+ alpha 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (201 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ beta (+ alpha 2)) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ 1.0 beta) (+ alpha 2))) (cbrt (+ (+ 1.0 beta) (+ alpha 2))))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ beta (+ alpha 2)) (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 190 / 417 ] 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 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ (+ beta 2) 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (201 enodes)
* * [misc]simplify:  iters left: 2 (378 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ beta (+ alpha 2)) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ beta 2) (+ 1.0 alpha)))) (* (+ beta (+ alpha 2)) (sqrt (+ beta (+ alpha 2)))))))
* * * * [misc]progress:  [ 191 / 417 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (236 enodes)
* * [misc]simplify:  iters left: 2 (487 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ beta 2) alpha))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 192 / 417 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (236 enodes)
* * [misc]simplify:  iters left: 2 (487 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ beta 2) alpha))) (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (sqrt (+ (+ 2 beta) alpha))) (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ (+ 2 beta) alpha)))))
* * * * [misc]progress:  [ 193 / 417 ] 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 (45 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* * [misc]simplify:  iters left: 3 (396 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ 1.0 2) (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 194 / 417 ] 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 (42 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ 1.0 2) (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (/ (/ (+ (+ (+ 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* * [misc]simplify:  iters left: 3 (396 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 195 / 417 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (+ (+ 2 1.0) (+ beta alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* 1 (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (+ (+ 2 1.0) (+ beta alpha)))))
* * * * [misc]progress:  [ 196 / 417 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (+ (+ 2 1.0) (+ beta alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* 1 (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (+ (+ 2 1.0) (+ beta alpha)))))
* * * * [misc]progress:  [ 197 / 417 ] 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (* (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (* (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (/ (/ 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 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))) (cbrt (+ (+ alpha beta) (+ 2 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ alpha (+ beta 1.0)) (* alpha beta)) (* (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))) (cbrt (+ (+ alpha beta) (+ 2 1.0))))))
* * * * [misc]progress:  [ 198 / 417 ] 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (140 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (195 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 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 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))) (sqrt (+ (+ alpha beta) (+ 2 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))) (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* * * * [misc]progress:  [ 199 / 417 ] 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 (63 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (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 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (493 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha beta) (+ 2 1.0))) (* (cbrt (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) (/ (/ 1 (+ (+ alpha beta) (+ 2 1.0))) (* (cbrt (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 200 / 417 ] 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 (63 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (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 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (493 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha beta) (+ 2 1.0))) (* (cbrt (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (cbrt (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) (/ (/ 1 (+ (+ alpha beta) (+ 2 1.0))) (* (cbrt (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 201 / 417 ] 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (143 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (191 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (/ 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 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2))) (cbrt (+ (+ alpha beta) (+ 2 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ (+ beta 2) alpha))) (* (cbrt (+ (+ 1.0 alpha) (+ beta 2))) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2))) (cbrt (+ (+ alpha beta) (+ 2 1.0))))))
* * * * [misc]progress:  [ 202 / 417 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (136 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) 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 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (148 enodes)
* * [misc]simplify:  iters left: 2 (336 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2))) (sqrt (+ (+ alpha beta) (+ 2 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2))) (sqrt (+ (+ alpha beta) (+ 2 1.0))))))
* * * * [misc]progress:  [ 203 / 417 ] 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 (58 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))) (/ (/ (/ 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 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (493 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha beta) (+ 2 1.0))) (* (sqrt (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))) (/ (/ 1 (+ (+ alpha beta) (+ 2 1.0))) (* (sqrt (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 204 / 417 ] 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 (58 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))) (/ (/ (/ 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 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (187 enodes)
* * [misc]simplify:  iters left: 2 (493 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha beta) (+ 2 1.0))) (* (sqrt (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))) (/ (/ 1 (+ (+ alpha beta) (+ 2 1.0))) (* (sqrt (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 205 / 417 ] 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 (82 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) 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) (* (/ (/ (+ (+ (* alpha beta) 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 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (349 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (+ (+ 1.0 beta) (+ alpha 2)))) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))) (/ (/ 1 (cbrt (+ (+ 1.0 beta) (+ alpha 2)))) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 206 / 417 ] 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 (77 enodes)
* * [misc]simplify:  iters left: 3 (128 enodes)
* * [misc]simplify:  iters left: 2 (176 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ 1.0 alpha) (+ beta 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 (14 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (349 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ 1.0 beta) (+ alpha 2)))) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (/ 1 (sqrt (+ (+ 1.0 beta) (+ alpha 2)))) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)))))
* * * * [misc]progress:  [ 207 / 417 ] 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 (44 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (+ (* alpha beta) (+ alpha (+ beta 1.0)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (+ (* alpha beta) (+ alpha (+ beta 1.0))) (/ (/ (/ 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 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ alpha (+ beta 2))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (+ (* alpha beta) (+ alpha (+ beta 1.0))) (/ (/ 1 (+ alpha (+ beta 2))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ alpha (+ beta 2))))))
* * * * [misc]progress:  [ 208 / 417 ] 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 (44 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (+ (* alpha beta) (+ alpha (+ beta 1.0)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (+ (* alpha beta) (+ alpha (+ beta 1.0))) (/ (/ (/ 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 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ alpha (+ beta 2))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (+ (* alpha beta) (+ alpha (+ beta 1.0))) (/ (/ 1 (+ alpha (+ beta 2))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ alpha (+ beta 2))))))
* * * * [misc]progress:  [ 209 / 417 ] 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 (24 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (151 enodes)
* * [misc]simplify:  iters left: 3 (363 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ 8 (pow (+ beta alpha) 3))) (* (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ 8 (pow (+ beta alpha) 3))) (* (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ alpha (+ beta 2))) (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 (19 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (144 enodes)
* * [misc]simplify:  iters left: 3 (374 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4) (* (cbrt (+ (+ beta alpha) 2)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ 8 (pow (+ beta alpha) 3))) (* (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))))) (/ (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4) (* (cbrt (+ (+ beta alpha) 2)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))))
* * * * [misc]progress:  [ 210 / 417 ] 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 (23 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (141 enodes)
* * [misc]simplify:  iters left: 3 (313 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (pow (+ beta alpha) 3) 8)) (* (* (cbrt (+ alpha (+ 2 beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (pow (+ beta alpha) 3) 8)) (* (* (cbrt (+ alpha (+ 2 beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ alpha (+ 2 beta))))) (/ (/ (+ (* (+ 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (144 enodes)
* * [misc]simplify:  iters left: 3 (374 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4) (* (cbrt (+ (+ beta alpha) 2)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ (pow (+ beta alpha) 3) 8)) (* (* (cbrt (+ alpha (+ 2 beta))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (cbrt (+ alpha (+ 2 beta))))) (/ (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4) (* (cbrt (+ (+ beta alpha) 2)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))))
* * * * [misc]progress:  [ 211 / 417 ] 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 (116 enodes)
* * [misc]simplify:  iters left: 3 (283 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ alpha (+ 2 beta)))) (* (+ (pow (+ beta alpha) 3) 8) (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ alpha (+ 2 beta)))) (* (+ (pow (+ beta alpha) 3) 8) (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (143 enodes)
* * [misc]simplify:  iters left: 3 (425 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (* (cbrt (+ alpha (+ beta 2))) (+ (+ alpha (+ beta 2)) 1.0)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ alpha (+ 2 beta)))) (* (+ (pow (+ beta alpha) 3) 8) (cbrt (+ alpha (+ 2 beta))))) (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (* (cbrt (+ alpha (+ beta 2))) (+ (+ alpha (+ beta 2)) 1.0)))))
* * * * [misc]progress:  [ 212 / 417 ] 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 (116 enodes)
* * [misc]simplify:  iters left: 3 (283 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ alpha (+ 2 beta)))) (* (+ (pow (+ beta alpha) 3) 8) (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ alpha (+ 2 beta)))) (* (+ (pow (+ beta alpha) 3) 8) (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (143 enodes)
* * [misc]simplify:  iters left: 3 (425 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (* (cbrt (+ alpha (+ beta 2))) (+ (+ alpha (+ beta 2)) 1.0)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ alpha (+ 2 beta)))) (* (+ (pow (+ beta alpha) 3) 8) (cbrt (+ alpha (+ 2 beta))))) (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (* (cbrt (+ alpha (+ beta 2))) (+ (+ alpha (+ beta 2)) 1.0)))))
* * * * [misc]progress:  [ 213 / 417 ] 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 (23 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (141 enodes)
* * [misc]simplify:  iters left: 3 (326 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ beta (+ (* alpha beta) (+ 1.0 alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (* (+ (pow (+ beta alpha) 3) 8) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ beta (+ (* alpha beta) (+ 1.0 alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (* (+ (pow (+ beta alpha) 3) 8) (sqrt (+ beta (+ alpha 2))))) (/ (/ (+ (* (+ 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (144 enodes)
* * [misc]simplify:  iters left: 3 (374 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4) (* (sqrt (+ (+ beta alpha) 2)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ beta (+ (* alpha beta) (+ 1.0 alpha))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (* (+ (pow (+ beta alpha) 3) 8) (sqrt (+ beta (+ alpha 2))))) (/ (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4) (* (sqrt (+ (+ beta alpha) 2)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))))
* * * * [misc]progress:  [ 214 / 417 ] 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 (22 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (133 enodes)
* * [misc]simplify:  iters left: 3 (287 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ 8 (pow (+ beta alpha) 3)) (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ 8 (pow (+ beta alpha) 3)) (sqrt (+ beta (+ alpha 2))))) (/ (/ (+ (* (+ 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 (19 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (144 enodes)
* * [misc]simplify:  iters left: 3 (374 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4) (* (sqrt (+ (+ beta alpha) 2)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (sqrt (+ (+ beta 1.0) (+ alpha 2)))) (* (+ 8 (pow (+ beta alpha) 3)) (sqrt (+ beta (+ alpha 2))))) (/ (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4) (* (sqrt (+ (+ beta alpha) 2)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))))
* * * * [misc]progress:  [ 215 / 417 ] 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 (108 enodes)
* * [misc]simplify:  iters left: 3 (259 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ 8 (pow (+ beta alpha) 3))) (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ 8 (pow (+ beta alpha) 3))) (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (143 enodes)
* * [misc]simplify:  iters left: 3 (425 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (* (sqrt (+ alpha (+ beta 2))) (+ (+ alpha (+ beta 2)) 1.0)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ 8 (pow (+ beta alpha) 3))) (sqrt (+ alpha (+ 2 beta)))) (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (* (sqrt (+ alpha (+ beta 2))) (+ (+ alpha (+ beta 2)) 1.0)))))
* * * * [misc]progress:  [ 216 / 417 ] 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 (108 enodes)
* * [misc]simplify:  iters left: 3 (259 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ 8 (pow (+ beta alpha) 3))) (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ 8 (pow (+ beta alpha) 3))) (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (143 enodes)
* * [misc]simplify:  iters left: 3 (425 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (* (sqrt (+ alpha (+ beta 2))) (+ (+ alpha (+ beta 2)) 1.0)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (+ 8 (pow (+ beta alpha) 3))) (sqrt (+ alpha (+ 2 beta)))) (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (* (sqrt (+ alpha (+ beta 2))) (+ (+ alpha (+ beta 2)) 1.0)))))
* * * * [misc]progress:  [ 217 / 417 ] 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 (132 enodes)
* * [misc]simplify:  iters left: 3 (275 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ 8 (pow (+ beta alpha) 3))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ 8 (pow (+ beta alpha) 3))) (* (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 (18 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (159 enodes)
* * [misc]simplify:  iters left: 3 (423 enodes)
* [exit]simplify:  Simplified to (/ (- 4 (* (- 2 (+ beta alpha)) (+ beta alpha))) (* (+ alpha (+ beta 2)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ 8 (pow (+ beta alpha) 3))) (* (cbrt (+ (+ 2 beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) (+ 1.0 alpha))))) (/ (- 4 (* (- 2 (+ beta alpha)) (+ beta alpha))) (* (+ alpha (+ beta 2)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))))
* * * * [misc]progress:  [ 218 / 417 ] 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 (125 enodes)
* * [misc]simplify:  iters left: 3 (252 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ (pow (+ beta alpha) 3) 8) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ (pow (+ beta alpha) 3) 8) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (+ (* (+ 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 (18 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (159 enodes)
* * [misc]simplify:  iters left: 3 (423 enodes)
* [exit]simplify:  Simplified to (/ (- 4 (* (- 2 (+ beta alpha)) (+ beta alpha))) (* (+ alpha (+ beta 2)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ (pow (+ beta alpha) 3) 8) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (- 4 (* (- 2 (+ beta alpha)) (+ beta alpha))) (* (+ alpha (+ beta 2)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))))
* * * * [misc]progress:  [ 219 / 417 ] 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 (92 enodes)
* * [misc]simplify:  iters left: 3 (195 enodes)
* * [misc]simplify:  iters left: 2 (428 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ 8 (pow (+ beta alpha) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ 8 (pow (+ beta alpha) 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)))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (158 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (* (+ beta alpha) (+ beta alpha)) 4) (* (+ beta alpha) -2)) (* (+ (+ 1.0 2) (+ beta alpha)) (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ 8 (pow (+ beta alpha) 3))) (/ (+ (+ (* (+ beta alpha) (+ beta alpha)) 4) (* (+ beta alpha) -2)) (* (+ (+ 1.0 2) (+ beta alpha)) (+ alpha (+ beta 2))))))
* * * * [misc]progress:  [ 220 / 417 ] 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 (92 enodes)
* * [misc]simplify:  iters left: 3 (195 enodes)
* * [misc]simplify:  iters left: 2 (428 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ 8 (pow (+ beta alpha) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ 8 (pow (+ beta alpha) 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)))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (158 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (* (+ beta alpha) (+ beta alpha)) 4) (* (+ beta alpha) -2)) (* (+ (+ 1.0 2) (+ beta alpha)) (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ 8 (pow (+ beta alpha) 3))) (/ (+ (+ (* (+ beta alpha) (+ beta alpha)) 4) (* (+ beta alpha) -2)) (* (+ (+ 1.0 2) (+ beta alpha)) (+ alpha (+ beta 2))))))
* * * * [misc]progress:  [ 221 / 417 ] 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 (23 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (161 enodes)
* * [misc]simplify:  iters left: 3 (463 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (- (* (+ beta alpha) (+ beta alpha)) 4)) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (- (* (+ beta alpha) (+ beta alpha)) 4)) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (/ (/ (- (+ 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 (15 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (206 enodes)
* [exit]simplify:  Simplified to (/ (/ (- beta (- 2 alpha)) (cbrt (+ beta (+ alpha 2)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (- (* (+ beta alpha) (+ beta alpha)) 4)) (* (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))) (/ (/ (- beta (- 2 alpha)) (cbrt (+ beta (+ alpha 2)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 222 / 417 ] 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 (22 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (152 enodes)
* * [misc]simplify:  iters left: 3 (443 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (cbrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (cbrt (+ beta (+ alpha 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 (15 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (206 enodes)
* [exit]simplify:  Simplified to (/ (/ (- beta (- 2 alpha)) (cbrt (+ beta (+ alpha 2)))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (cbrt (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (cbrt (+ beta (+ alpha 2)))) (/ (/ (- beta (- 2 alpha)) (cbrt (+ beta (+ alpha 2)))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 223 / 417 ] 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 (126 enodes)
* * [misc]simplify:  iters left: 3 (390 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (+ -4 (* (+ beta alpha) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (+ -4 (* (+ beta alpha) (+ 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 (14 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* * [misc]simplify:  iters left: 2 (344 enodes)
* * [misc]simplify:  iters left: 1 (493 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ -2 beta) alpha) (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (+ -4 (* (+ beta alpha) (+ beta alpha))))) (/ (/ (+ (+ -2 beta) alpha) (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 224 / 417 ] 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 (126 enodes)
* * [misc]simplify:  iters left: 3 (390 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (+ -4 (* (+ beta alpha) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (+ -4 (* (+ beta alpha) (+ 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 (14 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* * [misc]simplify:  iters left: 2 (344 enodes)
* * [misc]simplify:  iters left: 1 (493 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ -2 beta) alpha) (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ 1.0 (+ (* alpha beta) (+ beta alpha))) (cbrt (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (+ -4 (* (+ beta alpha) (+ beta alpha))))) (/ (/ (+ (+ -2 beta) alpha) (+ (+ beta 1.0) (+ 2 alpha))) (cbrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 225 / 417 ] 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 (22 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (152 enodes)
* * [misc]simplify:  iters left: 3 (432 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (+ -4 (* (+ beta alpha) (+ beta alpha))) (sqrt (+ beta (+ alpha 2))))) (cbrt (+ (+ alpha 2) (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (+ -4 (* (+ beta alpha) (+ beta alpha))) (sqrt (+ beta (+ alpha 2))))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (/ (- (+ 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 (15 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (206 enodes)
* [exit]simplify:  Simplified to (/ (/ (- beta (- 2 alpha)) (sqrt (+ beta (+ alpha 2)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (* (+ -4 (* (+ beta alpha) (+ beta alpha))) (sqrt (+ beta (+ alpha 2))))) (cbrt (+ (+ alpha 2) (+ beta 1.0)))) (/ (/ (- beta (- 2 alpha)) (sqrt (+ beta (+ alpha 2)))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 226 / 417 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (143 enodes)
* * [misc]simplify:  iters left: 3 (382 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (- (+ 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 (15 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (206 enodes)
* [exit]simplify:  Simplified to (/ (/ (- beta (- 2 alpha)) (sqrt (+ beta (+ alpha 2)))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (sqrt (+ (+ alpha 2) beta)) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (- beta (- 2 alpha)) (sqrt (+ beta (+ alpha 2)))) (sqrt (+ (+ beta 1.0) (+ alpha 2))))))
* * * * [misc]progress:  [ 227 / 417 ] 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 (118 enodes)
* * [misc]simplify:  iters left: 3 (350 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (sqrt (+ 2 (+ beta alpha))) (+ (* (+ beta alpha) (+ beta alpha)) -4)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (sqrt (+ 2 (+ beta alpha))) (+ (* (+ beta alpha) (+ beta alpha)) -4))) (/ (/ (- (+ 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 (14 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* * [misc]simplify:  iters left: 2 (344 enodes)
* * [misc]simplify:  iters left: 1 (493 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ -2 beta) alpha) (+ (+ beta 1.0) (+ 2 alpha))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (sqrt (+ 2 (+ beta alpha))) (+ (* (+ beta alpha) (+ beta alpha)) -4))) (/ (/ (+ (+ -2 beta) alpha) (+ (+ beta 1.0) (+ 2 alpha))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 228 / 417 ] 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 (118 enodes)
* * [misc]simplify:  iters left: 3 (350 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (sqrt (+ 2 (+ beta alpha))) (+ (* (+ beta alpha) (+ beta alpha)) -4)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (sqrt (+ 2 (+ beta alpha))) (+ (* (+ beta alpha) (+ beta alpha)) -4))) (/ (/ (- (+ 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 (14 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* * [misc]simplify:  iters left: 2 (344 enodes)
* * [misc]simplify:  iters left: 1 (493 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ -2 beta) alpha) (+ (+ beta 1.0) (+ 2 alpha))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (sqrt (+ 2 (+ beta alpha))) (+ (* (+ beta alpha) (+ beta alpha)) -4))) (/ (/ (+ (+ -2 beta) alpha) (+ (+ beta 1.0) (+ 2 alpha))) (sqrt (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 229 / 417 ] 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 (56 enodes)
* * [misc]simplify:  iters left: 4 (142 enodes)
* * [misc]simplify:  iters left: 3 (378 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (- (+ 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 (14 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* * [misc]simplify:  iters left: 2 (253 enodes)
* * [misc]simplify:  iters left: 1 (296 enodes)
* [exit]simplify:  Simplified to (/ (/ (- alpha (- 2 beta)) (+ 2 (+ beta alpha))) (cbrt (+ (+ 1.0 beta) (+ 2 alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (/ (/ (- alpha (- 2 beta)) (+ 2 (+ beta alpha))) (cbrt (+ (+ 1.0 beta) (+ 2 alpha))))))
* * * * [misc]progress:  [ 230 / 417 ] 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 (135 enodes)
* * [misc]simplify:  iters left: 3 (326 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (+ (* (+ beta alpha) (+ beta alpha)) -4))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (/ (/ (- (+ 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 (14 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* * [misc]simplify:  iters left: 2 (253 enodes)
* * [misc]simplify:  iters left: 1 (296 enodes)
* [exit]simplify:  Simplified to (/ (/ (- alpha (- 2 beta)) (+ 2 (+ beta alpha))) (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (/ (/ (- alpha (- 2 beta)) (+ 2 (+ beta alpha))) (sqrt (+ (+ 1.0 beta) (+ 2 alpha))))))
* * * * [misc]progress:  [ 231 / 417 ] 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 (41 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (276 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ (* (+ beta alpha) (+ beta alpha)) -4))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ (* (+ 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 (13 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (432 enodes)
* [exit]simplify:  Simplified to (/ (- beta (- 2 alpha)) (* (+ (+ 2 1.0) (+ beta alpha)) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (/ (- beta (- 2 alpha)) (* (+ (+ 2 1.0) (+ beta alpha)) (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 232 / 417 ] 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 (41 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (276 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ (* (+ beta alpha) (+ beta alpha)) -4))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ (* (+ 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 (13 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (91 enodes)
* * [misc]simplify:  iters left: 3 (432 enodes)
* [exit]simplify:  Simplified to (/ (- beta (- 2 alpha)) (* (+ (+ 2 1.0) (+ beta alpha)) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (/ (- beta (- 2 alpha)) (* (+ (+ 2 1.0) (+ beta alpha)) (+ 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 233 / 417 ] 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 (44 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ (+ alpha 1.0) (+ beta 2))) (cbrt (+ (+ alpha 1.0) (+ beta 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ alpha 1.0) (+ beta 2))) (cbrt (+ (+ alpha 1.0) (+ beta 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* * [misc]simplify:  iters left: 3 (396 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (* (cbrt (+ (+ alpha 1.0) (+ beta 2))) (cbrt (+ (+ alpha 1.0) (+ beta 2))))) (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (cbrt (+ (+ beta 1.0) (+ alpha 2))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 234 / 417 ] 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 (41 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ alpha beta) (+ 2 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ alpha beta) (+ 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* * [misc]simplify:  iters left: 3 (396 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ 1 (sqrt (+ (+ alpha beta) (+ 2 1.0)))) (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 235 / 417 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (+ (+ 2 1.0) (+ beta alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* 1 (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (+ (+ 2 1.0) (+ beta alpha)))))
* * * * [misc]progress:  [ 236 / 417 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (117 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (+ (+ 2 1.0) (+ beta alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* 1 (/ (/ (+ (+ beta (* alpha beta)) (+ 1.0 alpha)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (+ (+ 2 1.0) (+ beta alpha)))))
* * * * [misc]progress:  [ 237 / 417 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* * [misc]simplify:  iters left: 2 (356 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ beta 2) alpha)) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ beta 2) 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 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 2) (+ alpha 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ beta 2) alpha)) (* (cbrt (+ (+ 1.0 alpha) (+ 2 beta))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ 1 (+ (+ alpha 2) beta)) (cbrt (+ (+ beta 2) (+ alpha 1.0))))))
* * * * [misc]progress:  [ 238 / 417 ] 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 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (237 enodes)
* * [misc]simplify:  iters left: 1 (271 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (+ (+ 2 beta) alpha))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (+ (+ 2 beta) alpha)) (/ (/ 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 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 2) (+ alpha 1.0))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (sqrt (+ (+ 2 1.0) (+ beta alpha)))) (+ (+ 2 beta) alpha)) (/ (/ 1 (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 2) (+ alpha 1.0))))))
* * * * [misc]progress:  [ 239 / 417 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 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 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (385 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ 1.0 beta) (+ alpha 2))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 2 (+ beta alpha))) (/ (/ 1 (+ (+ 1.0 beta) (+ alpha 2))) (+ beta (+ alpha 2)))))
* * * * [misc]progress:  [ 240 / 417 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (183 enodes)
* * [misc]simplify:  iters left: 1 (205 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 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 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (385 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ 1.0 beta) (+ alpha 2))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ 2 (+ beta alpha))) (/ (/ 1 (+ (+ 1.0 beta) (+ alpha 2))) (+ beta (+ alpha 2)))))
* * * * [misc]progress:  [ 241 / 417 ] 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 (22 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (156 enodes)
* * [misc]simplify:  iters left: 3 (462 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ 2 (+ beta alpha))) (* (+ (pow (+ beta alpha) 3) 8) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ 2 (+ beta alpha))) (* (+ (pow (+ beta alpha) 3) 8) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (+ (* (+ 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 (41 enodes)
* * [misc]simplify:  iters left: 4 (127 enodes)
* * [misc]simplify:  iters left: 3 (324 enodes)
* [exit]simplify:  Simplified to (/ (+ 4 (* (+ beta alpha) (- (+ beta alpha) 2))) (cbrt (+ (+ 2 1.0) (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (+ 2 (+ beta alpha))) (* (+ (pow (+ beta alpha) 3) 8) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (+ 4 (* (+ beta alpha) (- (+ beta alpha) 2))) (cbrt (+ (+ 2 1.0) (+ beta alpha))))))
* * * * [misc]progress:  [ 242 / 417 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (148 enodes)
* * [misc]simplify:  iters left: 3 (397 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ alpha (+ 2 beta))) (* (+ (pow (+ beta alpha) 3) 8) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ alpha (+ 2 beta))) (* (+ (pow (+ beta alpha) 3) 8) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (+ (* (+ 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 (41 enodes)
* * [misc]simplify:  iters left: 4 (127 enodes)
* * [misc]simplify:  iters left: 3 (324 enodes)
* [exit]simplify:  Simplified to (/ (+ 4 (* (+ beta alpha) (- (+ beta alpha) 2))) (sqrt (+ (+ 2 1.0) (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (+ alpha (+ 2 beta))) (* (+ (pow (+ beta alpha) 3) 8) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (+ 4 (* (+ beta alpha) (- (+ beta alpha) 2))) (sqrt (+ (+ 2 1.0) (+ beta alpha))))))
* * * * [misc]progress:  [ 243 / 417 ] 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 (121 enodes)
* * [misc]simplify:  iters left: 3 (283 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ 2 (+ beta alpha)) (+ (pow (+ beta alpha) 3) 8)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ 2 (+ beta alpha)) (+ (pow (+ beta alpha) 3) 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 (40 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* * [misc]simplify:  iters left: 3 (324 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ -2 (+ beta alpha))) 4) (+ (+ 2 1.0) (+ beta alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ 2 (+ beta alpha)) (+ (pow (+ beta alpha) 3) 8))) (/ (+ (* (+ beta alpha) (+ -2 (+ beta alpha))) 4) (+ (+ 2 1.0) (+ beta alpha)))))
* * * * [misc]progress:  [ 244 / 417 ] 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 (121 enodes)
* * [misc]simplify:  iters left: 3 (283 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ 2 (+ beta alpha)) (+ (pow (+ beta alpha) 3) 8)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ 2 (+ beta alpha)) (+ (pow (+ beta alpha) 3) 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 (40 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* * [misc]simplify:  iters left: 3 (324 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ -2 (+ beta alpha))) 4) (+ (+ 2 1.0) (+ beta alpha)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ 2 (+ beta alpha)) (+ (pow (+ beta alpha) 3) 8))) (/ (+ (* (+ beta alpha) (+ -2 (+ beta alpha))) 4) (+ (+ 2 1.0) (+ beta alpha)))))
* * * * [misc]progress:  [ 245 / 417 ] 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 (21 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ alpha (+ 2 beta))) (* (+ (* (+ beta alpha) (+ beta alpha)) -4) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (cbrt (+ (+ beta 1.0) (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ alpha (+ 2 beta))) (* (+ (* (+ beta alpha) (+ beta alpha)) -4) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (cbrt (+ (+ beta 1.0) (+ 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 (57 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (155 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta alpha) -2) (cbrt (+ (+ 2 1.0) (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ alpha (+ 2 beta))) (* (+ (* (+ beta alpha) (+ beta alpha)) -4) (cbrt (+ (+ beta 1.0) (+ alpha 2))))) (cbrt (+ (+ beta 1.0) (+ alpha 2)))) (/ (+ (+ beta alpha) -2) (cbrt (+ (+ 2 1.0) (+ beta alpha))))))
* * * * [misc]progress:  [ 246 / 417 ] 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 (20 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (159 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (+ beta (+ alpha -2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (+ beta (+ alpha -2)))) (/ (- (+ 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 (57 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (155 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta alpha) -2) (sqrt (+ (+ 2 1.0) (+ beta alpha))))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (* (sqrt (+ (+ beta 1.0) (+ alpha 2))) (+ beta (+ alpha -2)))) (/ (+ (+ beta alpha) -2) (sqrt (+ (+ 2 1.0) (+ beta alpha))))))
* * * * [misc]progress:  [ 247 / 417 ] 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 (47 enodes)
* * [misc]simplify:  iters left: 4 (135 enodes)
* * [misc]simplify:  iters left: 3 (443 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))) (- (+ beta alpha) 2))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))) (- (+ beta alpha) 2)) (/ (- (+ 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 (56 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (- alpha (- 2 beta)) (+ (+ 2 alpha) (+ 1.0 beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))) (- (+ beta alpha) 2)) (/ (- alpha (- 2 beta)) (+ (+ 2 alpha) (+ 1.0 beta)))))
* * * * [misc]progress:  [ 248 / 417 ] 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 (47 enodes)
* * [misc]simplify:  iters left: 4 (135 enodes)
* * [misc]simplify:  iters left: 3 (443 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))) (- (+ beta alpha) 2))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))) (- (+ beta alpha) 2)) (/ (- (+ 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 (56 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (/ (- alpha (- 2 beta)) (+ (+ 2 alpha) (+ 1.0 beta)))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))) (- (+ beta alpha) 2)) (/ (- alpha (- 2 beta)) (+ (+ 2 alpha) (+ 1.0 beta)))))
* * * * [misc]progress:  [ 249 / 417 ] 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:  [ 250 / 417 ] 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:  [ 251 / 417 ] 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:  [ 252 / 417 ] 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 (40 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (+ 2 alpha) (+ beta 1.0)))
* [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) (+ beta 1.0)))))
* * * * [misc]progress:  [ 253 / 417 ] 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 (40 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ 2 alpha) (+ beta 1.0)))
* [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) (+ beta 1.0)))))
* * * * [misc]progress:  [ 254 / 417 ] 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 (39 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (+ (+ alpha 1.0) (+ beta 2))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) 1) (+ (+ alpha 1.0) (+ beta 2))))
* * * * [misc]progress:  [ 255 / 417 ] 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 (39 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (+ (+ alpha 1.0) (+ beta 2))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) 1) (+ (+ alpha 1.0) (+ beta 2))))
* * * * [misc]progress:  [ 256 / 417 ] 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 (70 enodes)
* * [misc]simplify:  iters left: 3 (194 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (cbrt (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (* (+ 2 (+ beta alpha)) (+ 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:  [ 257 / 417 ] 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 (69 enodes)
* * [misc]simplify:  iters left: 3 (193 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ beta 1.0) (+ (* alpha beta) alpha)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (sqrt (/ (+ (+ beta 1.0) (+ (* alpha beta) 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:  [ 258 / 417 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ 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:  [ 259 / 417 ] 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 (59 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (123 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) 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:  [ 260 / 417 ] 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 (62 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) beta)))) (/ (+ (+ alpha beta) (+ (* 2 1) 1.0)) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 261 / 417 ] 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 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) 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) (* alpha beta)) 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:  [ 262 / 417 ] 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 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 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:  [ 263 / 417 ] 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 (55 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (/ (+ (+ alpha beta) (+ (* 2 1) 1.0)) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 264 / 417 ] 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 (91 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (285 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ 2 beta) alpha)) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ 2 beta) alpha)) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) 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:  [ 265 / 417 ] 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 (85 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (232 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ 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:  [ 266 / 417 ] 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 (83 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (361 enodes)
* * [misc]simplify:  iters left: 1 (453 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (* alpha beta) 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:  [ 267 / 417 ] 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 (77 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (235 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 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:  [ 268 / 417 ] 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 (62 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (118 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (+ (+ 2 beta) alpha)) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (+ (+ 2 beta) alpha)) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (+ (+ 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:  [ 269 / 417 ] 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 (67 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (221 enodes)
* * [misc]simplify:  iters left: 1 (244 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (* (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ (+ beta 1.0) (* 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:  [ 270 / 417 ] 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 (84 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* * [misc]simplify:  iters left: 2 (436 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ beta (+ alpha 2))))) (/ (+ (+ alpha beta) (+ (* 2 1) 1.0)) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 271 / 417 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (274 enodes)
* * [misc]simplify:  iters left: 1 (288 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha 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:  [ 272 / 417 ] 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 (48 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha 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:  [ 273 / 417 ] 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 (67 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (157 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ 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:  [ 274 / 417 ] 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 (65 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 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:  [ 275 / 417 ] 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 (64 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (+ (+ alpha beta) (+ (* 2 1) 1.0)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 276 / 417 ] 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 (66 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ 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:  [ 277 / 417 ] 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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ 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:  [ 278 / 417 ] 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 (59 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta))) (/ (+ (+ alpha beta) (+ (* 2 1) 1.0)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 279 / 417 ] 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 (67 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ (* 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:  [ 280 / 417 ] 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 (61 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (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:  [ 281 / 417 ] 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 (43 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (/ (+ (+ alpha beta) (+ (* 2 1) 1.0)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 282 / 417 ] 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:  [ 283 / 417 ] 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:  [ 284 / 417 ] 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:  [ 285 / 417 ] 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:  [ 286 / 417 ] 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:  [ 287 / 417 ] 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:  [ 288 / 417 ] 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:  [ 289 / 417 ] 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:  [ 290 / 417 ] 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:  [ 291 / 417 ] 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:  [ 292 / 417 ] 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:  [ 293 / 417 ] 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:  [ 294 / 417 ] 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 (55 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (+ (+ alpha beta) (+ (* 2 1) 1.0)) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 295 / 417 ] 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 (52 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ beta (+ alpha 2)))) (/ (+ (+ alpha beta) (+ (* 2 1) 1.0)) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 296 / 417 ] 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 (41 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (88 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (+ (+ (+ beta 1.0) alpha) (* alpha beta))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (/ (+ (+ alpha beta) (+ (* 2 1) 1.0)) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 297 / 417 ] 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 (106 enodes)
* * [misc]simplify:  iters left: 3 (250 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ 8 (pow (+ beta alpha) 3))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ 8 (pow (+ beta alpha) 3))) (* (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:  [ 298 / 417 ] 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 (100 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta)))) (+ 8 (pow (+ beta alpha) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta)))) (+ 8 (pow (+ beta alpha) 3))) (/ (+ (+ 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:  [ 299 / 417 ] 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 (91 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (423 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 8 (pow (+ beta alpha) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 8 (pow (+ beta alpha) 3))) (/ (+ (+ alpha beta) (+ (* 2 1) 1.0)) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 300 / 417 ] 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 (118 enodes)
* * [misc]simplify:  iters left: 3 (346 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (+ (+ alpha beta) (+ (* 2 1) 1.0)) (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 301 / 417 ] 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 (45 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (330 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (+ (* (+ beta alpha) (+ beta alpha)) -4))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (/ (+ (+ alpha beta) (+ (* 2 1) 1.0)) (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 302 / 417 ] 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 (41 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (278 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (- (* (+ beta alpha) (+ beta alpha)) 4))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (- (* (+ beta alpha) (+ beta alpha)) 4)) (/ (+ (+ alpha beta) (+ (* 2 1) 1.0)) (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 303 / 417 ] 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:  [ 304 / 417 ] 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 (51 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ 2 beta) alpha))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ 2 beta) alpha)) (/ (+ (+ alpha beta) (+ (* 2 1) 1.0)) (/ 1 (+ (+ alpha beta) (* 2 1))))))
* * * * [misc]progress:  [ 305 / 417 ] 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 (105 enodes)
* * [misc]simplify:  iters left: 3 (281 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (pow (+ beta alpha) 3) 8)) (+ alpha (+ 2 beta)))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (* alpha beta) (+ alpha (+ beta 1.0))) (+ (pow (+ beta alpha) 3) 8)) (+ alpha (+ 2 beta))) (/ (+ (+ alpha beta) (+ (* 2 1) 1.0)) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 306 / 417 ] 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 (44 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* * [misc]simplify:  iters left: 3 (408 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ 2 (+ beta alpha))) (+ -4 (* (+ beta alpha) (+ beta alpha))))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ 2 (+ beta alpha))) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (/ (+ (+ alpha beta) (+ (* 2 1) 1.0)) (- (+ alpha beta) (* 2 1)))))
* * * * [misc]progress:  [ 307 / 417 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (* (+ (pow alpha 3) (pow beta 3)) (+ (* (* 2 1) (* 2 1)) (- (* 1.0 1.0) (* (* 2 1) 1.0)))) (* (+ (* alpha alpha) (- (* beta beta) (* alpha beta))) (+ (pow (* 2 1) 3) (pow 1.0 3))))) (* (+ (* alpha alpha) (- (* beta beta) (* alpha beta))) (+ (* (* 2 1) (* 2 1)) (- (* 1.0 1.0) (* (* 2 1) 1.0))))))>
* [enter]simplify:  Simplifying (* (+ (* alpha alpha) (- (* beta beta) (* alpha beta))) (+ (* (* 2 1) (* 2 1)) (- (* 1.0 1.0) (* (* 2 1) 1.0))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (136 enodes)
* * [misc]simplify:  iters left: 3 (486 enodes)
* [exit]simplify:  Simplified to (* (+ (* (+ -2 1.0) 1.0) 4) (+ (* alpha alpha) (* beta (- 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 3) (pow beta 3)) (+ (* (* 2 1) (* 2 1)) (- (* 1.0 1.0) (* (* 2 1) 1.0)))) (* (+ (* alpha alpha) (- (* beta beta) (* alpha beta))) (+ (pow (* 2 1) 3) (pow 1.0 3))))) (* (+ (* (+ -2 1.0) 1.0) 4) (+ (* alpha alpha) (* beta (- beta alpha))))))
* * * * [misc]progress:  [ 308 / 417 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (* (+ (pow alpha 3) (pow beta 3)) (- (* 2 1) 1.0)) (* (+ (* alpha alpha) (- (* beta beta) (* alpha beta))) (- (* (* 2 1) (* 2 1)) (* 1.0 1.0))))) (* (+ (* alpha alpha) (- (* beta beta) (* alpha beta))) (- (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (* (+ (* alpha alpha) (- (* beta beta) (* 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 (56 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (461 enodes)
* [exit]simplify:  Simplified to (* (- 2 1.0) (+ (* alpha alpha) (* (- beta alpha) beta)))
* [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 3) (pow beta 3)) (- (* 2 1) 1.0)) (* (+ (* alpha alpha) (- (* beta beta) (* alpha beta))) (- (* (* 2 1) (* 2 1)) (* 1.0 1.0))))) (* (- 2 1.0) (+ (* alpha alpha) (* (- beta alpha) beta)))))
* * * * [misc]progress:  [ 309 / 417 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (* (- (* alpha alpha) (* beta beta)) (+ (* (* 2 1) (* 2 1)) (- (* 1.0 1.0) (* (* 2 1) 1.0)))) (* (- alpha beta) (+ (pow (* 2 1) 3) (pow 1.0 3))))) (* (- alpha beta) (+ (* (* 2 1) (* 2 1)) (- (* 1.0 1.0) (* (* 2 1) 1.0))))))>
* [enter]simplify:  Simplifying (* (- alpha beta) (+ (* (* 2 1) (* 2 1)) (- (* 1.0 1.0) (* (* 2 1) 1.0))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (339 enodes)
* [exit]simplify:  Simplified to (* (+ 4 (* (- 1.0 2) 1.0)) (- alpha beta))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (* (- (* alpha alpha) (* beta beta)) (+ (* (* 2 1) (* 2 1)) (- (* 1.0 1.0) (* (* 2 1) 1.0)))) (* (- alpha beta) (+ (pow (* 2 1) 3) (pow 1.0 3))))) (* (+ 4 (* (- 1.0 2) 1.0)) (- alpha beta))))
* * * * [misc]progress:  [ 310 / 417 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (* (- (* alpha alpha) (* beta beta)) (- (* 2 1) 1.0)) (* (- alpha beta) (- (* (* 2 1) (* 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 (16 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (164 enodes)
* * [misc]simplify:  iters left: 1 (365 enodes)
* [exit]simplify:  Simplified to (* (- 2 1.0) (- alpha beta))
* [misc]simplify:  Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (* (- (* alpha alpha) (* beta beta)) (- (* 2 1) 1.0)) (* (- alpha beta) (- (* (* 2 1) (* 2 1)) (* 1.0 1.0))))) (* (- 2 1.0) (- alpha beta))))
* * * * [misc]progress:  [ 311 / 417 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ alpha beta) 3) (pow (+ (* 2 1) 1.0) 3))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (+ (* 2 1) 1.0) (+ (* 2 1) 1.0)) (* (+ alpha beta) (+ (* 2 1) 1.0))))))>
* [enter]simplify:  Simplifying (+ (* (+ alpha beta) (+ alpha beta)) (- (* (+ (* 2 1) 1.0) (+ (* 2 1) 1.0)) (* (+ alpha beta) (+ (* 2 1) 1.0))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (170 enodes)
* [exit]simplify:  Simplified to (+ (* (+ beta alpha) (+ beta alpha)) (* (+ 1.0 2) (- (+ 1.0 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) 3) (pow (+ (* 2 1) 1.0) 3))) (+ (* (+ beta alpha) (+ beta alpha)) (* (+ 1.0 2) (- (+ 1.0 2) (+ beta alpha))))))
* * * * [misc]progress:  [ 312 / 417 ] simplifiying candidate #<alt (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (- (* (+ alpha beta) (+ alpha beta)) (* (+ (* 2 1) 1.0) (+ (* 2 1) 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 (45 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (179 enodes)
* * [misc]simplify:  iters left: 1 (344 enodes)
* [exit]simplify:  Simplified to (+ (- alpha 1.0) (+ -2 beta))
* [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) (+ alpha beta)) (* (+ (* 2 1) 1.0) (+ (* 2 1) 1.0)))) (+ (- alpha 1.0) (+ -2 beta))))
* * * * [misc]progress:  [ 313 / 417 ] 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 (51 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ 2 beta) alpha))
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ 2 beta) alpha)) (* (+ (+ alpha beta) (+ (* 2 1) 1.0)) (+ (+ alpha beta) (* 2 1)))))
* * * * [misc]progress:  [ 314 / 417 ] 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:  [ 315 / 417 ] 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 (67 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (- (log (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (+ (log (+ 2 (+ beta alpha))) (log (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (exp (- (log (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (+ (log (+ 2 (+ beta alpha))) (log (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 316 / 417 ] 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 (64 enodes)
* * [misc]simplify:  iters left: 3 (107 enodes)
* * [misc]simplify:  iters left: 2 (155 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (- (log (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (+ (log (+ 2 (+ beta alpha))) (log (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (exp (- (log (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (+ (log (+ 2 (+ beta alpha))) (log (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 317 / 417 ] 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:  [ 318 / 417 ] 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:  [ 319 / 417 ] 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 (361 enodes)
* [exit]simplify:  Simplified to (/ (pow (+ (* alpha beta) (+ (+ 1.0 beta) alpha)) 3) (* (pow (+ beta (+ alpha 2)) 3) (pow (+ beta (+ alpha 2)) 3)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (cbrt (/ (pow (+ (* alpha beta) (+ (+ 1.0 beta) alpha)) 3) (* (pow (+ beta (+ alpha 2)) 3) (pow (+ beta (+ alpha 2)) 3)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 320 / 417 ] 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 (265 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))) 3)
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (cbrt (pow (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (* (+ alpha (+ 2 beta)) (+ alpha (+ 2 beta)))) 3)) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 321 / 417 ] 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:  [ 322 / 417 ] 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:  [ 323 / 417 ] 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:  [ 324 / 417 ] 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:  [ 325 / 417 ] 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 (71 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (/ (cbrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ 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 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (cbrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ (* alpha beta) beta) (+ 1.0 alpha)) (+ (+ 2 beta) alpha))) (cbrt (+ (+ 2 beta) alpha)))) (/ (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 326 / 417 ] 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 (59 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (123 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) 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 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (/ (cbrt (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 327 / 417 ] 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 (62 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) 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)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ alpha 2) beta)))) (/ (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 328 / 417 ] 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 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) 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) (* alpha beta)) 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 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (/ (+ (+ (+ beta 1.0) (* alpha beta)) alpha) (+ (+ 2 beta) alpha))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 329 / 417 ] 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 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 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 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 330 / 417 ] 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 (55 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (/ (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 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (/ (sqrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 331 / 417 ] 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 (91 enodes)
* * [misc]simplify:  iters left: 3 (157 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (285 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ 2 beta) alpha)) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ 2 beta) alpha)) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) 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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ 2 beta) alpha)) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 332 / 417 ] 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 (85 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (232 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (+ beta (+ alpha 2))) (cbrt (+ beta (+ alpha 2)))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 333 / 417 ] 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 (83 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (361 enodes)
* * [misc]simplify:  iters left: 1 (453 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (* alpha beta) 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 (59 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (cbrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 334 / 417 ] 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 (77 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (200 enodes)
* * [misc]simplify:  iters left: 1 (235 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (* (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (+ (+ 2 beta) alpha)) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 335 / 417 ] 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 (62 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (118 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (+ (+ 2 beta) alpha)) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (+ (+ 2 beta) alpha)) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (/ (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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (+ (+ 2 beta) alpha)) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 336 / 417 ] 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 (67 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (221 enodes)
* * [misc]simplify:  iters left: 1 (244 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (* (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ (+ beta 1.0) (* 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 (59 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (* (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (sqrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 337 / 417 ] 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 (84 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* * [misc]simplify:  iters left: 2 (436 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (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))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (162 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 338 / 417 ] 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 (72 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (274 enodes)
* * [misc]simplify:  iters left: 1 (288 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha 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 (30 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (162 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ 2 beta) alpha)))) (/ (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 339 / 417 ] 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 (48 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (151 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha 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 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (/ (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 340 / 417 ] 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 (67 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (157 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ 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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 341 / 417 ] 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 (65 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha)))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 342 / 417 ] 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 (64 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) 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)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 343 / 417 ] 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 (66 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 344 / 417 ] 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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ 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))))
* * [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 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 345 / 417 ] 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 (59 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta))) (/ (/ (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 (59 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (151 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (* (+ (+ alpha 2) beta) (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 346 / 417 ] 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 (67 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* 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 (+ (+ (* 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 (73 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (162 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 347 / 417 ] 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 (61 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (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 (73 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (149 enodes)
* * [misc]simplify:  iters left: 1 (162 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (sqrt (+ alpha (+ beta 2)))) (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (* (+ 2 (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 348 / 417 ] 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 (43 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (sqrt (+ (* 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)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 349 / 417 ] 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 (55 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (cbrt (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))) (/ (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (cbrt (+ 2 (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 350 / 417 ] 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 (59 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))) (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 351 / 417 ] 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 (58 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (153 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (cbrt (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ 1 (cbrt (+ (+ alpha beta) 2))) (cbrt (+ (+ alpha beta) 2))) (/ (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (cbrt (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 352 / 417 ] 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 (59 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (cbrt (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))) (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (cbrt (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 353 / 417 ] 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 (55 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ 1 (+ (+ beta 2) alpha)) (/ (+ (+ beta 1.0) (+ alpha (* alpha beta))) (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 354 / 417 ] 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 (58 enodes)
* * [misc]simplify:  iters left: 3 (114 enodes)
* * [misc]simplify:  iters left: 2 (153 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ 1 (sqrt (+ (+ beta 2) alpha))) (/ (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (sqrt (+ 2 (+ beta alpha)))) (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 355 / 417 ] 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 (74 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (cbrt (+ beta (+ alpha 2)))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ 1 (* (cbrt (+ beta (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha))))) (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (cbrt (+ beta (+ alpha 2)))) (+ beta (+ alpha 2)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 356 / 417 ] 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 (74 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ beta (+ alpha 2)))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ 1 (sqrt (+ (+ 2 alpha) beta))) (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ beta (+ alpha 2)))) (+ beta (+ alpha 2)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 357 / 417 ] 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 (68 enodes)
* * [misc]simplify:  iters left: 3 (190 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* 1 (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 358 / 417 ] 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 (74 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (cbrt (+ beta (+ alpha 2)))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (cbrt (+ beta (+ alpha 2)))) (+ beta (+ alpha 2)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 359 / 417 ] 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 (74 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ beta (+ alpha 2)))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (/ (+ (+ (* alpha beta) (+ beta 1.0)) alpha) (sqrt (+ beta (+ alpha 2)))) (+ beta (+ alpha 2)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 360 / 417 ] 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 (68 enodes)
* * [misc]simplify:  iters left: 3 (190 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* 1 (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 361 / 417 ] 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 (55 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (* (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))))
* * [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 (62 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (/ 1 (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 362 / 417 ] 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 (52 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ beta (+ alpha 2)))) (/ (/ 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 (62 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (sqrt (+ beta (+ alpha 2)))) (/ (/ 1 (+ (+ beta 2) alpha)) (sqrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 363 / 417 ] 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 (41 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (88 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (+ (+ (+ beta 1.0) alpha) (* alpha beta))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (+ (+ (+ beta 1.0) alpha) (* alpha beta)) (/ (/ 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 (134 enodes)
* * [misc]simplify:  iters left: 2 (443 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) alpha) (* alpha beta)) (/ 1 (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 364 / 417 ] 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 (106 enodes)
* * [misc]simplify:  iters left: 3 (250 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ 8 (pow (+ beta alpha) 3))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ 8 (pow (+ beta alpha) 3))) (* (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 (36 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (272 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ 8 (pow (+ beta alpha) 3))) (* (cbrt (+ alpha (+ 2 beta))) (cbrt (+ alpha (+ 2 beta))))) (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (cbrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 365 / 417 ] 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 (100 enodes)
* * [misc]simplify:  iters left: 3 (232 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta)))) (+ 8 (pow (+ beta alpha) 3)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta)))) (+ 8 (pow (+ beta alpha) 3))) (/ (+ (* (+ 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 (36 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (272 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ (+ alpha (+ (* alpha beta) (+ beta 1.0))) (sqrt (+ alpha (+ 2 beta)))) (+ 8 (pow (+ beta alpha) 3))) (/ (+ (* (+ beta alpha) (+ (+ beta alpha) -2)) 4) (sqrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 366 / 417 ] 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 (91 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (423 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 8 (pow (+ beta alpha) 3)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 8 (pow (+ beta alpha) 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)))) (+ (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (273 enodes)
* [exit]simplify:  Simplified to (/ (+ 4 (* (+ beta alpha) (+ (+ beta alpha) -2))) (+ (+ beta 2) alpha))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (+ (+ (* alpha beta) alpha) (+ beta 1.0)) (+ 8 (pow (+ beta alpha) 3))) (/ (+ 4 (* (+ beta alpha) (+ (+ beta alpha) -2))) (+ (+ beta 2) alpha))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 367 / 417 ] 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 (118 enodes)
* * [misc]simplify:  iters left: 3 (346 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (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))))
* * [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) (/ (* (/ (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (- beta (- 2 alpha)) (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 368 / 417 ] 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 (45 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (330 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (+ (* (+ beta alpha) (+ beta alpha)) -4))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (/ (- (+ 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) (/ (* (/ (/ (+ (+ (* alpha beta) 1.0) (+ beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (+ (* (+ beta alpha) (+ beta alpha)) -4)) (/ (- beta (- 2 alpha)) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 369 / 417 ] 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 (41 enodes)
* * [misc]simplify:  iters left: 4 (106 enodes)
* * [misc]simplify:  iters left: 3 (278 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (- (* (+ beta alpha) (+ beta alpha)) 4))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (- (* (+ 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) (/ (* (/ (+ (+ (+ 1.0 alpha) (* alpha beta)) beta) (- (* (+ beta alpha) (+ beta alpha)) 4)) (/ (- alpha (- 2 beta)) (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 370 / 417 ] 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:  [ 371 / 417 ] 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:  [ 372 / 417 ] 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:  [ 373 / 417 ] 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:  [ 374 / 417 ] 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:  [ 375 / 417 ] 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:  [ 376 / 417 ] 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 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (* (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta)))) (/ (+ (+ alpha beta) (* 2 1)) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 377 / 417 ] 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 (52 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ beta (+ alpha 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ beta (+ alpha 2)))) (/ (+ (+ alpha beta) (* 2 1)) (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 378 / 417 ] 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 (70 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (* (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (cbrt (+ (+ 2 beta) alpha))) (/ (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (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:  [ 379 / 417 ] 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 (58 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))) (/ (sqrt (+ alpha (+ 2 beta))) (cbrt (+ (* alpha beta) (+ 1.0 (+ 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:  [ 380 / 417 ] 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 (51 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (155 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (* (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (/ (+ (+ alpha beta) (* 2 1)) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 381 / 417 ] 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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (+ (+ alpha beta) (* 2 1)) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 382 / 417 ] 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 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta))) (/ (+ (+ alpha beta) (* 2 1)) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 383 / 417 ] 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 (44 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (/ (+ (+ alpha beta) (* 2 1)) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 384 / 417 ] 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:  [ 385 / 417 ] 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:  [ 386 / 417 ] 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:  [ 387 / 417 ] 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:  [ 388 / 417 ] 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 (38 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (+ (+ alpha (* alpha beta)) (+ beta 1.0))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (/ (+ (+ alpha beta) (* 2 1)) (/ 1 (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 389 / 417 ] 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 (75 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (387 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ (+ 1.0 beta) (* alpha beta)) alpha) (+ 8 (pow (+ beta alpha) 3)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (+ (+ (+ 1.0 beta) (* alpha beta)) alpha) (+ 8 (pow (+ beta alpha) 3))) (/ (+ (+ alpha beta) (* 2 1)) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 390 / 417 ] 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 (92 enodes)
* * [misc]simplify:  iters left: 3 (216 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ -4 (* (+ beta alpha) (+ beta alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (+ (+ 1.0 (+ beta alpha)) (* alpha beta)) (+ -4 (* (+ beta alpha) (+ beta alpha)))) (/ (+ (+ alpha beta) (* 2 1)) (- (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 391 / 417 ] 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 (30 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (261 enodes)
* [exit]simplify:  Simplified to (+ 4 (* (+ beta alpha) (- (+ beta alpha) 2)))
* [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))) (+ 4 (* (+ beta alpha) (- (+ beta alpha) 2)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 392 / 417 ] 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:  [ 393 / 417 ] 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 (38 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (+ (+ alpha (* alpha beta)) (+ beta 1.0))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (+ (+ alpha (* alpha beta)) (+ beta 1.0)) (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 394 / 417 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (log (* (exp (+ alpha beta)) (exp (* beta alpha)))) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (* (exp (+ alpha beta)) (exp (* beta alpha)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (exp (+ (+ beta alpha) (* alpha beta)))
* [misc]simplify:  Simplified (2 1 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (+ (log (exp (+ (+ beta alpha) (* alpha beta)))) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 395 / 417 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (pow (+ (+ alpha beta) (* beta alpha)) 1) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 396 / 417 ] 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:  [ 397 / 417 ] 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:  [ 398 / 417 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (* (* (cbrt (+ (+ alpha beta) (* beta alpha))) (cbrt (+ (+ alpha beta) (* beta alpha)))) (cbrt (+ (+ alpha beta) (* beta alpha)))) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 399 / 417 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (cbrt (* (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (+ (+ alpha beta) (* beta alpha)))) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 400 / 417 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (* (sqrt (+ (+ alpha beta) (* beta alpha))) (sqrt (+ (+ alpha beta) (* beta alpha)))) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 401 / 417 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (/ (+ (pow (+ alpha beta) 3) (pow (* beta alpha) 3)) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* beta alpha) (* beta alpha)) (* (+ alpha beta) (* beta alpha))))) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 402 / 417 ] 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:  [ 403 / 417 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (/ (- (* (+ alpha beta) (+ alpha beta)) (* (* beta alpha) (* beta alpha))) (- (+ alpha beta) (* beta alpha))) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 404 / 417 ] 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:  [ 405 / 417 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (* beta alpha) (+ alpha beta)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 406 / 417 ] 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 (14 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (+ 0.5 (* 0.25 (+ alpha beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (+ 0.5 (* 0.25 (+ alpha beta))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 407 / 417 ] 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 (26 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (+ (/ (/ 2.0 alpha) alpha) (- 1 (/ 1.0 alpha)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (+ (/ (/ 2.0 alpha) alpha) (- 1 (/ 1.0 alpha))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 408 / 417 ] 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 (26 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (+ (/ (/ 2.0 alpha) alpha) (- 1 (/ 1.0 alpha)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (+ (/ (/ 2.0 alpha) alpha) (- 1 (/ 1.0 alpha))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 409 / 417 ] 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 (17 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (71 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (- 0.08333333333333333 (* (+ alpha beta) 0.027777777777777776))
* [misc]simplify:  Simplified (2) to (λ (alpha beta) (- 0.08333333333333333 (* (+ alpha beta) 0.027777777777777776)))
* * * * [misc]progress:  [ 410 / 417 ] 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:  [ 411 / 417 ] 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:  [ 412 / 417 ] 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 (47 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (+ (* alpha (- (* beta 0.125) (* alpha 0.0625))) 0.25)
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (+ (* alpha (- (* beta 0.125) (* alpha 0.0625))) 0.25) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 413 / 417 ] 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:  [ 414 / 417 ] 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:  [ 415 / 417 ] 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)))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (39 enodes)
* [exit]simplify:  Simplified to (+ (+ beta alpha) (* alpha beta))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (/ (/ (+ (+ (+ beta alpha) (* alpha beta)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 416 / 417 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (* beta alpha) (+ beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (+ (* beta alpha) (+ beta alpha))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (+ (+ alpha beta) (* beta alpha))
* [misc]simplify:  Simplified (2 1 1 1 1) to (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:  [ 417 / 417 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (* beta alpha) (+ beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (+ (* beta alpha) (+ beta alpha))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to (+ (+ alpha beta) (* beta alpha))
* [misc]simplify:  Simplified (2 1 1 1 1) to (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:  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) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (+ alpha (* alpha beta))) 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 (+ alpha (* 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 (* 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]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (* 0 beta) 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 (+ (* 0 0) (* 1 beta)) into beta
* [misc]backup-simplify:  Simplify (+ 1 beta) 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) (+ alpha (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (+ alpha (* alpha beta))) 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 (+ alpha (* 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 (* alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* alpha 0) into 0
* [misc]backup-simplify:  Simplify (+ alpha 0) 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 (+ (* alpha 1) (* 0 0)) into alpha
* [misc]backup-simplify:  Simplify (+ 0 alpha) 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) (+ alpha (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (+ alpha (* alpha beta))) 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 (+ alpha (* 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 (* alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* alpha 0) into 0
* [misc]backup-simplify:  Simplify (+ alpha 0) 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 (+ (* alpha 1) (* 0 0)) into alpha
* [misc]backup-simplify:  Simplify (+ 0 alpha) 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) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta)))) 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 (+ (/ 1 alpha) (* (/ 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 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]backup-simplify:  Simplify (* 1 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) 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) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta)))) 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 (+ (/ 1 alpha) (* (/ 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 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) 1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta)))) 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 (+ (/ 1 alpha) (* (/ 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 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) 1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 alpha) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) 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) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta))))) 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 (+ (/ 1 (- alpha)) (* (/ 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 (- 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]backup-simplify:  Simplify (* -1 (/ -1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) 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) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta))))) 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 (+ (/ 1 (- alpha)) (* (/ 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 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) -1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta))))) 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 (+ (/ 1 (- alpha)) (* (/ 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 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) -1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 alpha) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 0) 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 1 1 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (+ alpha (* alpha beta))) 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 (+ alpha (* 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 (* 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]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (* 0 beta) 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 (+ (* 0 0) (* 1 beta)) into beta
* [misc]backup-simplify:  Simplify (+ 1 beta) 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) (+ alpha (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (+ alpha (* alpha beta))) 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 (+ alpha (* 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 (* alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* alpha 0) into 0
* [misc]backup-simplify:  Simplify (+ alpha 0) 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 (+ (* alpha 1) (* 0 0)) into alpha
* [misc]backup-simplify:  Simplify (+ 0 alpha) 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) (+ alpha (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (+ alpha (* alpha beta))) 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 (+ alpha (* 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 (* alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* alpha 0) into 0
* [misc]backup-simplify:  Simplify (+ alpha 0) 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 (+ (* alpha 1) (* 0 0)) into alpha
* [misc]backup-simplify:  Simplify (+ 0 alpha) 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) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta)))) 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 (+ (/ 1 alpha) (* (/ 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 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]backup-simplify:  Simplify (* 1 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) 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) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta)))) 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 (+ (/ 1 alpha) (* (/ 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 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) 1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta)))) 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 (+ (/ 1 alpha) (* (/ 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 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) 1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 alpha) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) 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) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta))))) 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 (+ (/ 1 (- alpha)) (* (/ 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 (- 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]backup-simplify:  Simplify (* -1 (/ -1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) 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) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta))))) 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 (+ (/ 1 (- alpha)) (* (/ 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 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) -1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta))))) 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 (+ (/ 1 (- alpha)) (* (/ 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 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) -1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 alpha) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 0) 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:  [ 3 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (+ alpha (* alpha beta))) 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 (+ alpha (* 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 (* 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]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (* 0 beta) 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 (+ (* 0 0) (* 1 beta)) into beta
* [misc]backup-simplify:  Simplify (+ 1 beta) 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 (+ (+ alpha 2) beta) 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 in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 beta) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta 1.0)) (+ beta 2)) into (* (/ 1 (+ beta 2)) (sqrt (+ beta 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (+ alpha (* alpha beta))) 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 (+ alpha (* 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 (* 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]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (* 0 beta) 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 (+ (* 0 0) (* 1 beta)) into beta
* [misc]backup-simplify:  Simplify (+ 1 beta) 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 (+ (+ alpha 2) beta) 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 in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 beta) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta 1.0)) (+ beta 2)) into (* (/ 1 (+ beta 2)) (sqrt (+ beta 1.0)))
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (+ alpha (* alpha beta))) 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 (+ alpha (* 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 (* alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* alpha 0) into 0
* [misc]backup-simplify:  Simplify (+ alpha 0) 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 (+ (* alpha 1) (* 0 0)) into alpha
* [misc]backup-simplify:  Simplify (+ 0 alpha) 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 (+ (+ alpha 2) beta) 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 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (+ (+ 2 alpha) 0) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (/ (sqrt (+ 1.0 alpha)) (+ 2 alpha)) into (* (/ 1 (+ 2 alpha)) (sqrt (+ 1.0 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (+ alpha (* alpha beta))) 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 (+ alpha (* 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 (* alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* alpha 0) into 0
* [misc]backup-simplify:  Simplify (+ alpha 0) 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 (+ (* alpha 1) (* 0 0)) into alpha
* [misc]backup-simplify:  Simplify (+ 0 alpha) 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 (+ (+ alpha 2) beta) 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 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (+ (+ 2 alpha) 0) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (/ (sqrt (+ 1.0 alpha)) (+ 2 alpha)) into (* (/ 1 (+ 2 alpha)) (sqrt (+ 1.0 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (+ alpha (* alpha beta))) 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 (+ alpha (* 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 (* alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* alpha 0) into 0
* [misc]backup-simplify:  Simplify (+ alpha 0) 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 (+ (* alpha 1) (* 0 0)) into alpha
* [misc]backup-simplify:  Simplify (+ 0 alpha) 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 (+ (+ alpha 2) beta) 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 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (+ (+ 2 alpha) 0) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (/ (sqrt (+ 1.0 alpha)) (+ 2 alpha)) into (* (/ 1 (+ 2 alpha)) (sqrt (+ 1.0 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (+ alpha (* alpha beta))) 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 (+ alpha (* 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 (* alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* alpha 0) into 0
* [misc]backup-simplify:  Simplify (+ alpha 0) 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 (+ (* alpha 1) (* 0 0)) into alpha
* [misc]backup-simplify:  Simplify (+ 0 alpha) 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 (+ (+ alpha 2) beta) 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 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (+ (+ 2 alpha) 0) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (/ (sqrt (+ 1.0 alpha)) (+ 2 alpha)) into (* (/ 1 (+ 2 alpha)) (sqrt (+ 1.0 alpha)))
* [misc]backup-simplify:  Simplify (* (* (/ 1 (+ 2 alpha)) (sqrt (+ 1.0 alpha))) (* (/ 1 (+ 2 alpha)) (sqrt (+ 1.0 alpha)))) into (/ (+ 1.0 alpha) (pow (+ 2 alpha) 2))
* [misc]taylor:  Taking taylor expansion of (/ (+ 1.0 alpha) (pow (+ 2 alpha) 2)) 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) 2) 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]backup-simplify:  Simplify (+ 1.0 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha))) (+ 2 alpha)) (+ (* (* (/ 1 (+ 2 alpha)) (sqrt (+ 1.0 alpha))) (/ 1 (+ 2 alpha))))) into (- (+ (* 1/2 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha))))) (* 1/2 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha)))))) (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (+ 1.0 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha))) (+ 2 alpha)) (+ (* (* (/ 1 (+ 2 alpha)) (sqrt (+ 1.0 alpha))) (/ 1 (+ 2 alpha))))) into (- (+ (* 1/2 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha))))) (* 1/2 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha)))))) (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (+ 1.0 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (* (/ 1 (+ 2 alpha)) (sqrt (+ 1.0 alpha))) (- (+ (* 1/2 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha))))) (* 1/2 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha)))))) (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (+ 1.0 alpha))))) (* (- (+ (* 1/2 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha))))) (* 1/2 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha)))))) (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (+ 1.0 alpha)))) (* (/ 1 (+ 2 alpha)) (sqrt (+ 1.0 alpha))))) into (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (* 2 (/ (+ 1.0 alpha) (pow (+ 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (* 2 (/ (+ 1.0 alpha) (pow (+ 2 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ 2 alpha) 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ 2 alpha) 2) 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]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]taylor:  Taking taylor expansion of (/ alpha (pow (+ 2 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 (pow (+ 2 alpha) 2) 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]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (+ 1.0 alpha) (pow (+ 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (+ 1.0 alpha) (pow (+ 2 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 (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]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 (/ 1.0 8) into 0.125
* [misc]backup-simplify:  Simplify (+ 1/4 0) into 1/4
* [misc]backup-simplify:  Simplify (* 2 0.125) 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 (+ 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 (- (/ 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 (+ (* alpha 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 (pow (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha))) 2) (+)) (* 2 (sqrt (+ 1.0 alpha)))) into (* -1/2 (* (+ (* 1/2 (/ alpha (+ 1.0 alpha))) (+ (* 1/4 (/ 1 (+ 1.0 alpha))) (* 1/4 (/ (pow alpha 2) (+ 1.0 alpha))))) (sqrt (/ 1 (+ 1.0 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (* -1/2 (* (+ (* 1/2 (/ alpha (+ 1.0 alpha))) (+ (* 1/4 (/ 1 (+ 1.0 alpha))) (* 1/4 (/ (pow alpha 2) (+ 1.0 alpha))))) (sqrt (/ 1 (+ 1.0 alpha))))) (+ 2 alpha)) (+ (* (* (/ 1 (+ 2 alpha)) (sqrt (+ 1.0 alpha))) (/ 0 (+ 2 alpha))) (* (- (+ (* 1/2 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha))))) (* 1/2 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha)))))) (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (+ 1.0 alpha)))) (/ 1 (+ 2 alpha))))) into (- (* (/ 1 (pow (+ 2 alpha) 3)) (sqrt (+ 1.0 alpha))) (+ (* 1/4 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (+ (* 1/8 (* (/ (pow alpha 2) (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (+ (* 1/2 (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 alpha))))) (+ (* 1/8 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (* 1/2 (* (/ alpha (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 alpha))))))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 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 (pow (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha))) 2) (+)) (* 2 (sqrt (+ 1.0 alpha)))) into (* -1/2 (* (+ (* 1/2 (/ alpha (+ 1.0 alpha))) (+ (* 1/4 (/ 1 (+ 1.0 alpha))) (* 1/4 (/ (pow alpha 2) (+ 1.0 alpha))))) (sqrt (/ 1 (+ 1.0 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (* -1/2 (* (+ (* 1/2 (/ alpha (+ 1.0 alpha))) (+ (* 1/4 (/ 1 (+ 1.0 alpha))) (* 1/4 (/ (pow alpha 2) (+ 1.0 alpha))))) (sqrt (/ 1 (+ 1.0 alpha))))) (+ 2 alpha)) (+ (* (* (/ 1 (+ 2 alpha)) (sqrt (+ 1.0 alpha))) (/ 0 (+ 2 alpha))) (* (- (+ (* 1/2 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha))))) (* 1/2 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha)))))) (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (+ 1.0 alpha)))) (/ 1 (+ 2 alpha))))) into (- (* (/ 1 (pow (+ 2 alpha) 3)) (sqrt (+ 1.0 alpha))) (+ (* 1/4 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (+ (* 1/8 (* (/ (pow alpha 2) (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (+ (* 1/2 (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 alpha))))) (+ (* 1/8 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (* 1/2 (* (/ alpha (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* (/ 1 (+ 2 alpha)) (sqrt (+ 1.0 alpha))) (- (* (/ 1 (pow (+ 2 alpha) 3)) (sqrt (+ 1.0 alpha))) (+ (* 1/4 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (+ (* 1/8 (* (/ (pow alpha 2) (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (+ (* 1/2 (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 alpha))))) (+ (* 1/8 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (* 1/2 (* (/ alpha (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 alpha))))))))))) (+ (* (- (+ (* 1/2 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha))))) (* 1/2 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha)))))) (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (+ 1.0 alpha)))) (- (+ (* 1/2 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha))))) (* 1/2 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha)))))) (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (+ 1.0 alpha))))) (* (- (* (/ 1 (pow (+ 2 alpha) 3)) (sqrt (+ 1.0 alpha))) (+ (* 1/4 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (+ (* 1/8 (* (/ (pow alpha 2) (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (+ (* 1/2 (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 alpha))))) (+ (* 1/8 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (* 1/2 (* (/ alpha (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 alpha)))))))))) (* (/ 1 (+ 2 alpha)) (sqrt (+ 1.0 alpha)))))) into (- (+ (* 2.0 (/ 1 (pow (+ 2 alpha) 4))) (+ (/ (+ 1.0 alpha) (pow (+ 2 alpha) 4)) (* 2 (/ alpha (pow (+ 2 alpha) 4))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 3))) (* 2 (/ 1 (pow (+ 2 alpha) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2.0 (/ 1 (pow (+ 2 alpha) 4))) (+ (/ (+ 1.0 alpha) (pow (+ 2 alpha) 4)) (* 2 (/ alpha (pow (+ 2 alpha) 4))))) (+ (* 2 (/ alpha (pow (+ 2 alpha) 3))) (* 2 (/ 1 (pow (+ 2 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2.0 (/ 1 (pow (+ 2 alpha) 4))) (+ (/ (+ 1.0 alpha) (pow (+ 2 alpha) 4)) (* 2 (/ alpha (pow (+ 2 alpha) 4))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2.0 (/ 1 (pow (+ 2 alpha) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of 2.0 in alpha
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ 2 alpha) 4) 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]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 (+ (/ (+ 1.0 alpha) (pow (+ 2 alpha) 4)) (* 2 (/ alpha (pow (+ 2 alpha) 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ 1.0 alpha) (pow (+ 2 alpha) 4)) 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) 4) 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]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (* 4 4) into 16
* [misc]backup-simplify:  Simplify (/ 1.0 16) into 0.0625
* [misc]taylor:  Taking taylor expansion of (* 2 (/ alpha (pow (+ 2 alpha) 4))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ alpha (pow (+ 2 alpha) 4)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ 2 alpha) 4) 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]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 (/ alpha (pow (+ 2 alpha) 3))) (* 2 (/ 1 (pow (+ 2 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ alpha (pow (+ 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ alpha (pow (+ 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ 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]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 (/ 1 (pow (+ 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ 2 alpha) 3)) 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]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 (* 2.0 1/16) into 0.125
* [misc]backup-simplify:  Simplify (+ 0.0625 0) into 0.0625
* [misc]backup-simplify:  Simplify (+ 0.125 0.0625) into 0.1875
* [misc]backup-simplify:  Simplify (* 2 1/8) into 1/4
* [misc]backup-simplify:  Simplify (+ 0 1/4) 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 (+ 0 1) 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 (+ 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 (- (/ 1 8) (+ (* 0.125 (/ 12 8)))) into (- 0.0625)
* [misc]backup-simplify:  Simplify (+ (* 2 (- 0.0625)) (* 0 0.125)) 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 (* alpha beta)) (+ (* (- 0.0625) (pow (* 1 beta) 2)) 0.25)) into (- (+ 0.25 (* 0.125 (* beta alpha))) (* 0.0625 (pow beta 2)))
* [misc]approximate:  Taking taylor expansion of (* (/ (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) (+ (+ (/ 1 alpha) 2) (/ 1 beta))) (/ (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) (+ (+ (/ 1 alpha) 2) (/ 1 beta)))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) (+ (+ (/ 1 alpha) 2) (/ 1 beta))) (/ (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) (+ (+ (/ 1 alpha) 2) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) (+ (+ (/ 1 alpha) 2) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta)))) 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 (+ (/ 1 alpha) (* (/ 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 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]backup-simplify:  Simplify (* 1 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) 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 (+ (+ (/ 1 alpha) 2) (/ 1 beta)) 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) 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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 beta) 1)) 1) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) (+ (+ (/ 1 alpha) 2) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta)))) 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 (+ (/ 1 alpha) (* (/ 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 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]backup-simplify:  Simplify (* 1 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) 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 (+ (+ (/ 1 alpha) 2) (/ 1 beta)) 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) 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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 beta) 1)) 1) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) (+ (+ (/ 1 alpha) 2) (/ 1 beta))) (/ (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) (+ (+ (/ 1 alpha) 2) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) (+ (+ (/ 1 alpha) 2) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta)))) 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 (+ (/ 1 alpha) (* (/ 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 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) 1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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 (+ (+ (/ 1 alpha) 2) (/ 1 beta)) 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) in beta
* [misc]taylor:  Taking taylor expansion of beta in 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 alpha) 1)) 1) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) (+ (+ (/ 1 alpha) 2) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta)))) 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 (+ (/ 1 alpha) (* (/ 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 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) 1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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 (+ (+ (/ 1 alpha) 2) (/ 1 beta)) 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) in beta
* [misc]taylor:  Taking taylor expansion of beta in 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 alpha) 1)) 1) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) (+ (+ (/ 1 alpha) 2) (/ 1 beta))) (/ (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) (+ (+ (/ 1 alpha) 2) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) (+ (+ (/ 1 alpha) 2) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta)))) 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 (+ (/ 1 alpha) (* (/ 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 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) 1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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 (+ (+ (/ 1 alpha) 2) (/ 1 beta)) 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) in beta
* [misc]taylor:  Taking taylor expansion of beta in 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 alpha) 1)) 1) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) (+ (+ (/ 1 alpha) 2) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta)))) 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 (+ (/ 1 alpha) (* (/ 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 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) 1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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 (+ (+ (/ 1 alpha) 2) (/ 1 beta)) 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) in beta
* [misc]taylor:  Taking taylor expansion of beta in 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 alpha) 1)) 1) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (+ (/ 1 alpha) 1)) (* +nan.0 (+ (/ 1 alpha) 1))) into (* +nan.0 (pow (+ (/ 1 alpha) 1) 2))
* [misc]taylor:  Taking taylor expansion of (* +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 (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 (/ 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 1)) into 2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 2) (* 0 1))))) into 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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 alpha) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) 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 (+ (+ (/ 1 alpha) 2) 0) into (+ (/ 1 alpha) 2)
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))))) 1) (+ (* (* +nan.0 (+ (/ 1 alpha) 1)) (/ (+ (/ 1 alpha) 2) 1)))) 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 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 alpha) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) 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 (+ (+ (/ 1 alpha) 2) 0) into (+ (/ 1 alpha) 2)
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))))) 1) (+ (* (* +nan.0 (+ (/ 1 alpha) 1)) (/ (+ (/ 1 alpha) 2) 1)))) into (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (+ (/ 1 alpha) 1)) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0)))))) (* (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))) (* +nan.0 (+ (/ 1 alpha) 1)))) 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 (- (+ (* 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 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 (+ (* 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 (+ (* +nan.0 0) (+ (* 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 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 (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 2) (* 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)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 alpha) 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 (+ (* 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 (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow alpha 3)))))))))) 1) (+ (* (* +nan.0 (+ (/ 1 alpha) 1)) (/ 0 1)) (* (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))) (/ (+ (/ 1 alpha) 2) 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 alpha) 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 (+ (* 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 (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow alpha 3)))))))))) 1) (+ (* (* +nan.0 (+ (/ 1 alpha) 1)) (/ 0 1)) (* (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))) (/ (+ (/ 1 alpha) 2) 1)))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (+ (/ 1 alpha) 1)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3))))))))))) (+ (* (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0)))))) (* (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3)))))))))) (* +nan.0 (+ (/ 1 alpha) 1))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 4))) (- (+ (* +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 4))) (- (+ (* +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 4))) (- (+ (* +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 4))) (- (+ (* +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 4))) (- (+ (* +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 4))) (- (+ (* +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 4))) (- (+ (* +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 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 alpha 4)) in alpha
* [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]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 (- (+ (* 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 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 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 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 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 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 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 (+ (* +nan.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 (+ (* +nan.0 0) (+ (* 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 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 (+ (* +nan.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 1)) (* 0 (/ 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 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 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 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)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 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 1)) (* 0 (/ 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 (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 2) (* 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 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta)))) (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta))))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta)))) (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta))))) 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 (+ (/ 1 (- alpha)) (* (/ 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 (- 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]backup-simplify:  Simplify (* -1 (/ -1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) 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 (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta))) 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)) 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 (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 beta) 1)) -1) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta))))) 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 (+ (/ 1 (- alpha)) (* (/ 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 (- 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]backup-simplify:  Simplify (* -1 (/ -1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) 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 (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta))) 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)) 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 (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 beta) 1)) -1) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta)))) (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta))))) 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 (+ (/ 1 (- alpha)) (* (/ 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 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) -1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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 (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta))) 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)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ (* +nan.0 (- (/ 1 alpha) 1)) -1) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta))))) 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 (+ (/ 1 (- alpha)) (* (/ 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 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) -1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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 (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta))) 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)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ (* +nan.0 (- (/ 1 alpha) 1)) -1) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (* (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta)))) (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta))))) 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 (+ (/ 1 (- alpha)) (* (/ 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 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) -1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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 (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta))) 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)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ (* +nan.0 (- (/ 1 alpha) 1)) -1) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta))))) 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 (+ (/ 1 (- alpha)) (* (/ 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 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) -1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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 (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta))) 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)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ (* +nan.0 (- (/ 1 alpha) 1)) -1) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (- (/ 1 alpha) 1)) (* +nan.0 (- (/ 1 alpha) 1))) into (* +nan.0 (pow (- (/ 1 alpha) 1) 2))
* [misc]taylor:  Taking taylor expansion of (* +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 (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 (/ 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 (- 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 -1) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 -1) (* 0 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 -1) (* -1 1)) into -2
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -2) (* 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 1.0) 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 (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 alpha) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 0) 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 (+ (- 2 (/ 1 alpha)) 0) into (- 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))))) -1) (+ (* (* +nan.0 (- (/ 1 alpha) 1)) (/ (- 2 (/ 1 alpha)) -1)))) 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 1.0) 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 (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 alpha) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 0) 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 (+ (- 2 (/ 1 alpha)) 0) into (- 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))))) -1) (+ (* (* +nan.0 (- (/ 1 alpha) 1)) (/ (- 2 (/ 1 alpha)) -1)))) into (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0)))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (- (/ 1 alpha) 1)) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0)))))) (* (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))) (* +nan.0 (- (/ 1 alpha) 1)))) 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 (- (+ (* 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 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 (+ (* 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 (+ (* +nan.0 0) (+ (* 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 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) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -2) (* 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 (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 alpha) 0) (+ (* 0 0) (* 0 -1))) 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 (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow alpha 3)))))))))) -1) (+ (* (* +nan.0 (- (/ 1 alpha) 1)) (/ 0 -1)) (* (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))) (/ (- 2 (/ 1 alpha)) -1)))) 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) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 alpha) 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 (+ (* 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 (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow alpha 3)))))))))) -1) (+ (* (* +nan.0 (- (/ 1 alpha) 1)) (/ 0 -1)) (* (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))) (/ (- 2 (/ 1 alpha)) -1)))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (- (/ 1 alpha) 1)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3))))))))))) (+ (* (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0)))))) (* (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (* +nan.0 (/ 1 (pow alpha 3)))))))))) (* +nan.0 (- (/ 1 alpha) 1))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 4))) (- (+ (* +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 4))) (- (+ (* +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 4))) (- (+ (* +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 4))) (- (+ (* +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 4))) (- (+ (* +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 4))) (- (+ (* +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 4))) (- (+ (* +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 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 alpha 4)) in alpha
* [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]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 (- (+ (* 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 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 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 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 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 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 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 (+ (* +nan.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 (+ (* +nan.0 0) (+ (* 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 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 (+ (* +nan.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 1)) (* 0 (/ 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 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 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 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)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 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 1)) (* 0 (/ 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) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -2) (* 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 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (+ alpha (* alpha beta))) 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 (+ alpha (* 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 (* 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]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (* 0 beta) 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 (+ (* 0 0) (* 1 beta)) into beta
* [misc]backup-simplify:  Simplify (+ 1 beta) 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 (+ (+ alpha 2) beta) 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 in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 beta) into (+ beta 2)
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta 1.0)) (+ beta 2)) into (* (/ 1 (+ beta 2)) (sqrt (+ beta 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (+ alpha (* alpha beta))) 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 (+ alpha (* 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 (* alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* alpha 0) into 0
* [misc]backup-simplify:  Simplify (+ alpha 0) 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 (+ (* alpha 1) (* 0 0)) into alpha
* [misc]backup-simplify:  Simplify (+ 0 alpha) 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 (+ (+ alpha 2) beta) 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 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (+ (+ 2 alpha) 0) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (/ (sqrt (+ 1.0 alpha)) (+ 2 alpha)) into (* (/ 1 (+ 2 alpha)) (sqrt (+ 1.0 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (+ alpha (* alpha beta))) 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 (+ alpha (* 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 (* alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* alpha 0) into 0
* [misc]backup-simplify:  Simplify (+ alpha 0) 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 (+ (* alpha 1) (* 0 0)) into alpha
* [misc]backup-simplify:  Simplify (+ 0 alpha) 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 (+ (+ alpha 2) beta) 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 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha 2) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (+ (+ 2 alpha) 0) into (+ 2 alpha)
* [misc]backup-simplify:  Simplify (/ (sqrt (+ 1.0 alpha)) (+ 2 alpha)) into (* (/ 1 (+ 2 alpha)) (sqrt (+ 1.0 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (+ 2 alpha)) (sqrt (+ 1.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 2 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]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [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 (* 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 (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha))) (+ 2 alpha)) (+ (* (* (/ 1 (+ 2 alpha)) (sqrt (+ 1.0 alpha))) (/ 1 (+ 2 alpha))))) into (- (+ (* 1/2 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha))))) (* 1/2 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha)))))) (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (+ 1.0 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha))))) (* 1/2 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha)))))) (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (+ 1.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha))))) (* 1/2 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 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 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 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]backup-simplify:  Simplify (/ 1 2) into 1/2
* [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 (* 1/2 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 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 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 2 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]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [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 (pow (+ 2 alpha) 2)) (sqrt (+ 1.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ 2 alpha) 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ 2 alpha) 2) 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]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [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 (* 1/2 (sqrt 1.0)) into (* 1/2 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (* 1/2 (* 1/2 (sqrt 1.0))) into (* 1/4 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (sqrt 1.0))) into (* 1/4 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (* 1/4 (sqrt 1.0)) into (* 1/4 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (- (* 1/4 (sqrt 1.0))) into (- (* 1/4 (sqrt 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 1/4 (sqrt 1.0)) (- (* 1/4 (sqrt 1.0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 1 2)))) into -1/4
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ 1/2 (sqrt 1.0))) (* -1/4 (sqrt 1.0))) into (- (* 1/4 (/ 1 (sqrt 1.0))) (* 1/4 (sqrt 1.0)))
* [misc]backup-simplify:  Simplify (- (* 1/4 (/ 1 (sqrt 1.0))) (* 1/4 (sqrt 1.0))) into (- (* 1/4 (/ 1 (sqrt 1.0))) (* 1/4 (sqrt 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 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 (pow (* 1/2 (* (sqrt (/ 1 (+ 1.0 alpha))) (+ 1 alpha))) 2) (+)) (* 2 (sqrt (+ 1.0 alpha)))) into (* -1/2 (* (+ (* 1/2 (/ alpha (+ 1.0 alpha))) (+ (* 1/4 (/ 1 (+ 1.0 alpha))) (* 1/4 (/ (pow alpha 2) (+ 1.0 alpha))))) (sqrt (/ 1 (+ 1.0 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (* -1/2 (* (+ (* 1/2 (/ alpha (+ 1.0 alpha))) (+ (* 1/4 (/ 1 (+ 1.0 alpha))) (* 1/4 (/ (pow alpha 2) (+ 1.0 alpha))))) (sqrt (/ 1 (+ 1.0 alpha))))) (+ 2 alpha)) (+ (* (* (/ 1 (+ 2 alpha)) (sqrt (+ 1.0 alpha))) (/ 0 (+ 2 alpha))) (* (- (+ (* 1/2 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha))))) (* 1/2 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (+ 1.0 alpha)))))) (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (+ 1.0 alpha)))) (/ 1 (+ 2 alpha))))) into (- (* (/ 1 (pow (+ 2 alpha) 3)) (sqrt (+ 1.0 alpha))) (+ (* 1/4 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (+ (* 1/8 (* (/ (pow alpha 2) (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (+ (* 1/2 (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 alpha))))) (+ (* 1/8 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (* 1/2 (* (/ alpha (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 alpha))))))))))
* [misc]taylor:  Taking taylor expansion of (- (* (/ 1 (pow (+ 2 alpha) 3)) (sqrt (+ 1.0 alpha))) (+ (* 1/4 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (+ (* 1/8 (* (/ (pow alpha 2) (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (+ (* 1/2 (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 alpha))))) (+ (* 1/8 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (* 1/2 (* (/ alpha (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 alpha)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (+ 2 alpha) 3)) (sqrt (+ 1.0 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ 2 alpha) 3)) 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]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 (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]taylor:  Taking taylor expansion of (+ (* 1/4 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (+ (* 1/8 (* (/ (pow alpha 2) (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (+ (* 1/2 (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 alpha))))) (+ (* 1/8 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (* 1/2 (* (/ alpha (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 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 (* (/ alpha (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ alpha (+ 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 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]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (+ 1.0 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ 1.0 alpha) 3)) in alpha
* [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 (* 1.0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 1.0 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 (+ 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 (- (+ (* 1.0 (/ 3.0 1.0)))) into (- 3.0)
* [misc]backup-simplify:  Simplify (/ (- 3.0) (* 2 (sqrt 1.0))) into (/ -1.5 (sqrt 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (* (/ (pow alpha 2) (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (+ (* 1/2 (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 alpha))))) (+ (* 1/8 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (* 1/2 (* (/ alpha (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/8 (* (/ (pow alpha 2) (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/8 in alpha
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (* (/ (pow alpha 2) (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (pow alpha 2) (+ 2 alpha)) 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]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 (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (+ 1.0 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ 1.0 alpha) 3)) in alpha
* [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 (* 1.0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 1.0 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 (+ 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 (- (+ (* 1.0 (/ 3.0 1.0)))) into (- 3.0)
* [misc]backup-simplify:  Simplify (/ (- 3.0) (* 2 (sqrt 1.0))) into (/ -1.5 (sqrt 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 alpha))))) (+ (* 1/8 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (* 1/2 (* (/ alpha (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 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 (* (/ 1 (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ 2 alpha) 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (+ 2 alpha) 2) 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]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [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 (+ (* 1/8 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) (* 1/2 (* (/ alpha (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/8 (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/8 in alpha
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (+ 2 alpha)) (sqrt (/ 1 (pow (+ 1.0 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ 2 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]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (+ 1.0 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ 1.0 alpha) 3)) in alpha
* [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 (* 1.0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* 1.0 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 (+ 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 (- (+ (* 1.0 (/ 3.0 1.0)))) into (- 3.0)
* [misc]backup-simplify:  Simplify (/ (- 3.0) (* 2 (sqrt 1.0))) into (/ -1.5 (sqrt 1.0))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ alpha (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 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 (* (/ alpha (pow (+ 2 alpha) 2)) (sqrt (/ 1 (+ 1.0 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ alpha (pow (+ 2 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 (pow (+ 2 alpha) 2) 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]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [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]backup-simplify:  Simplify (* 1/8 (sqrt 1.0)) into (* 1/8 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (* 1/4 (sqrt 1.0)) into (* 1/4 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (* 1/2 (* 1/4 (sqrt 1.0))) into (* 1/8 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 1.0)) into (* 1/2 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (* 1/8 (* 1/2 (sqrt 1.0))) into (* 1/16 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (+ (* 1/16 (sqrt 1.0)) 0) into (* 1/16 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (+ (* 1/8 (sqrt 1.0)) (* 1/16 (sqrt 1.0))) into (* 3/16 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (+ 0 (* 3/16 (sqrt 1.0))) into (* 3/16 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (+ 0 (* 3/16 (sqrt 1.0))) into (* 3/16 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (- (* 3/16 (sqrt 1.0))) into (- (* 3/16 (sqrt 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 1/8 (sqrt 1.0)) (- (* 3/16 (sqrt 1.0)))) into (- (* 1/16 (sqrt 1.0)))
* [misc]backup-simplify:  Simplify (- (* 1/16 (sqrt 1.0))) into (- (* 1/16 (sqrt 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/16 (sqrt 1.0))) (pow (* 1 beta) 2)) (+ (* (- (* 1/4 (/ 1 (sqrt 1.0))) (* 1/4 (sqrt 1.0))) (* alpha 1)) (* 1/2 (sqrt 1.0)))) into (- (+ (* 1/2 (sqrt 1.0)) (* 1/4 (/ alpha (sqrt 1.0)))) (+ (* 1/16 (* (sqrt 1.0) (pow beta 2))) (* 1/4 (* (sqrt 1.0) alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) (+ (+ (/ 1 alpha) 2) (/ 1 beta))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) (+ (+ (/ 1 alpha) 2) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta)))) 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 (+ (/ 1 alpha) (* (/ 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 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]backup-simplify:  Simplify (* 1 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) 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 (+ (+ (/ 1 alpha) 2) (/ 1 beta)) 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) 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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 beta) 1)) 1) into (* +nan.0 (+ (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) (+ (+ (/ 1 alpha) 2) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta)))) 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 (+ (/ 1 alpha) (* (/ 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 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) 1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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 (+ (+ (/ 1 alpha) 2) (/ 1 beta)) 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) in beta
* [misc]taylor:  Taking taylor expansion of beta in 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 alpha) 1)) 1) into (* +nan.0 (+ (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) (+ (+ (/ 1 alpha) 2) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta)))) 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 (+ (/ 1 alpha) (* (/ 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 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) 1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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 (+ (+ (/ 1 alpha) 2) (/ 1 beta)) 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) in beta
* [misc]taylor:  Taking taylor expansion of beta in 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 (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (+ (/ 1 alpha) 1)) 1) 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 (/ 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 (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 alpha) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) 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 (+ (+ (/ 1 alpha) 2) 0) into (+ (/ 1 alpha) 2)
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))))) 1) (+ (* (* +nan.0 (+ (/ 1 alpha) 1)) (/ (+ (/ 1 alpha) 2) 1)))) 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 (- (+ (* 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 (- 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 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 alpha) 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 (+ (* 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 (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow alpha 3)))))))))) 1) (+ (* (* +nan.0 (+ (/ 1 alpha) 1)) (/ 0 1)) (* (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))) (/ (+ (/ 1 alpha) 2) 1)))) 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 (- (+ (* 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 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 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 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 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta)))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta))))) 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 (+ (/ 1 (- alpha)) (* (/ 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 (- 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]backup-simplify:  Simplify (* -1 (/ -1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) 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 (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta))) 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)) 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 (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (* +nan.0 (- (/ 1 beta) 1)) -1) into (* +nan.0 (- (/ 1 beta) 1))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta))))) 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 (+ (/ 1 (- alpha)) (* (/ 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 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) -1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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 (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta))) 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)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ (* +nan.0 (- (/ 1 alpha) 1)) -1) into (* +nan.0 (- (/ 1 alpha) 1))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta))))) 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 (+ (/ 1 (- alpha)) (* (/ 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 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) -1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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 (+ (+ (/ 1 (- alpha)) 2) (/ 1 (- beta))) 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)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 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 (/ (* +nan.0 (- (/ 1 alpha) 1)) -1) 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 (/ 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 (+ 0 1.0) 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 (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 alpha) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 0) 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 (+ (- 2 (/ 1 alpha)) 0) into (- 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- +nan.0))))) -1) (+ (* (* +nan.0 (- (/ 1 alpha) 1)) (/ (- 2 (/ 1 alpha)) -1)))) 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 (- (+ (* 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 (- 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 (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 alpha) 0) (+ (* 0 0) (* 0 -1))) 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 (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 (pow alpha 2))) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow alpha 3)))))))))) -1) (+ (* (* +nan.0 (- (/ 1 alpha) 1)) (/ 0 -1)) (* (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))) (/ (- 2 (/ 1 alpha)) -1)))) 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 (- (+ (* 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 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 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 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:  simplifying candidates
* * * * [misc]progress:  [ 1 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (pow (+ (+ beta 1.0) (+ alpha (* alpha beta))) 1/2) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 2 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (pow (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) 1) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 3 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (exp (log (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 4 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (log (exp (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 5 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (* (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 6 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (cbrt (* (* (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 7 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (* (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (* (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 8 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (* (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))
* * [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 (67 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ beta (+ (+ 1.0 alpha) (* alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (* (sqrt (sqrt (+ beta (+ (+ 1.0 alpha) (* alpha beta))))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 9 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (* (sqrt 1) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (* 1 (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 10 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (* (sqrt 1) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (* 1 (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 11 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (+ (* (+ (pow beta 3) (pow 1.0 3)) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))) (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (+ (pow alpha 3) (pow (* alpha beta) 3))))) (sqrt (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (+ (pow beta 3) (pow 1.0 3)) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))) (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (+ (pow alpha 3) (pow (* alpha beta) 3)))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (239 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (+ (* (- (* beta alpha) alpha) (* beta alpha)) (* alpha alpha)) (+ (pow beta 3) (pow 1.0 3))) (* (+ (* beta beta) (* 1.0 (- 1.0 beta))) (+ (pow (* beta alpha) 3) (pow alpha 3)))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (+ (* (+ (* (- (* beta alpha) alpha) (* beta alpha)) (* alpha alpha)) (+ (pow beta 3) (pow 1.0 3))) (* (+ (* beta beta) (* 1.0 (- 1.0 beta))) (+ (pow (* beta alpha) 3) (pow alpha 3))))) (sqrt (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 12 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (+ (* (+ (pow beta 3) (pow 1.0 3)) (- alpha (* alpha beta))) (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (- (* alpha alpha) (* (* alpha beta) (* alpha beta)))))) (sqrt (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (- alpha (* alpha beta))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (+ (pow beta 3) (pow 1.0 3)) (- alpha (* alpha beta))) (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (- (* alpha alpha) (* (* alpha beta) (* alpha beta))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (128 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (- alpha (* beta alpha)) (+ (pow beta 3) (pow 1.0 3))) (* (+ (* 1.0 (- 1.0 beta)) (* beta beta)) (* (- alpha (* beta alpha)) (+ (* beta alpha) alpha)))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (+ (* (- alpha (* beta alpha)) (+ (pow beta 3) (pow 1.0 3))) (* (+ (* 1.0 (- 1.0 beta)) (* beta beta)) (* (- alpha (* beta alpha)) (+ (* beta alpha) alpha))))) (sqrt (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (- alpha (* alpha beta))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 13 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (+ (* (- (* beta beta) (* 1.0 1.0)) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))) (* (- beta 1.0) (+ (pow alpha 3) (pow (* alpha beta) 3))))) (sqrt (* (- beta 1.0) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (- (* beta beta) (* 1.0 1.0)) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))) (* (- beta 1.0) (+ (pow alpha 3) (pow (* alpha beta) 3)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (224 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (- beta 1.0) (pow alpha 3)) (+ (+ (* (* (* alpha beta) (* alpha beta)) (* (* alpha beta) (- beta 1.0))) (* (* (- beta 1.0) (* alpha alpha)) (+ beta 1.0))) (* (* (* (* alpha beta) (- beta 1.0)) (- (* alpha beta) alpha)) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (+ (* (- beta 1.0) (pow alpha 3)) (+ (+ (* (* (* alpha beta) (* alpha beta)) (* (* alpha beta) (- beta 1.0))) (* (* (- beta 1.0) (* alpha alpha)) (+ beta 1.0))) (* (* (* (* alpha beta) (- beta 1.0)) (- (* alpha beta) alpha)) (+ beta 1.0))))) (sqrt (* (- beta 1.0) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 14 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (+ (* (- (* beta beta) (* 1.0 1.0)) (- alpha (* alpha beta))) (* (- beta 1.0) (- (* alpha alpha) (* (* alpha beta) (* alpha beta)))))) (sqrt (* (- beta 1.0) (- alpha (* alpha beta))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (- (* beta beta) (* 1.0 1.0)) (- alpha (* alpha beta))) (* (- beta 1.0) (- (* alpha alpha) (* (* alpha beta) (* alpha beta))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- alpha (* alpha beta)) (+ (* (- beta 1.0) (+ alpha (* alpha beta))) (* (- beta 1.0) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (* (- alpha (* alpha beta)) (+ (* (- beta 1.0) (+ alpha (* alpha beta))) (* (- beta 1.0) (+ beta 1.0))))) (sqrt (* (- beta 1.0) (- alpha (* alpha beta))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 15 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (+ (pow (+ beta 1.0) 3) (pow (+ alpha (* alpha beta)) 3))) (sqrt (+ (* (+ beta 1.0) (+ beta 1.0)) (- (* (+ alpha (* alpha beta)) (+ alpha (* alpha beta))) (* (+ beta 1.0) (+ alpha (* alpha beta))))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (+ beta 1.0) 3) (pow (+ alpha (* alpha beta)) 3)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (pow (+ alpha (* alpha beta)) 3) (pow (+ 1.0 beta) 3)))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (+ (pow (+ alpha (* alpha beta)) 3) (pow (+ 1.0 beta) 3))) (sqrt (+ (* (+ beta 1.0) (+ beta 1.0)) (- (* (+ alpha (* alpha beta)) (+ alpha (* alpha beta))) (* (+ beta 1.0) (+ alpha (* alpha beta))))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 16 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha (* alpha beta)) (+ alpha (* alpha beta))))) (sqrt (- (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha (* alpha beta)) (+ alpha (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (425 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* (+ 1.0 beta) (+ 1.0 beta)) (* (+ (* alpha beta) alpha) (+ (* alpha beta) alpha))))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (- (* (+ 1.0 beta) (+ 1.0 beta)) (* (+ (* alpha beta) alpha) (+ (* alpha beta) alpha)))) (sqrt (- (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 17 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (* (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 18 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (fabs (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ alpha (+ 1.0 beta)) (* alpha beta)))
* [misc]simplify:  Simplified (2 1 2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (fabs (sqrt (+ (+ alpha (+ 1.0 beta)) (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 19 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (* 1 (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 20 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (pow (+ (+ beta 1.0) (+ alpha (* alpha beta))) 1/2) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 21 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (pow (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) 1) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 22 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (exp (log (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 23 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (log (exp (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 24 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (* (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 25 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (cbrt (* (* (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 26 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (* (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (* (/ (* (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 27 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (* (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))
* * [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 (67 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ beta (+ (+ 1.0 alpha) (* alpha beta)))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (* (/ (* (sqrt (sqrt (+ beta (+ (+ 1.0 alpha) (* alpha beta))))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 28 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (* (sqrt 1) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [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) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 29 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (* (sqrt 1) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [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) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 30 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (* (+ (pow beta 3) (pow 1.0 3)) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))) (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (+ (pow alpha 3) (pow (* alpha beta) 3))))) (sqrt (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (+ (pow beta 3) (pow 1.0 3)) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))) (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (+ (pow alpha 3) (pow (* alpha beta) 3)))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (239 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (+ (* (- (* beta alpha) alpha) (* beta alpha)) (* alpha alpha)) (+ (pow beta 3) (pow 1.0 3))) (* (+ (* beta beta) (* 1.0 (- 1.0 beta))) (+ (pow (* beta alpha) 3) (pow alpha 3)))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (* (+ (* (- (* beta alpha) alpha) (* beta alpha)) (* alpha alpha)) (+ (pow beta 3) (pow 1.0 3))) (* (+ (* beta beta) (* 1.0 (- 1.0 beta))) (+ (pow (* beta alpha) 3) (pow alpha 3))))) (sqrt (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 31 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (* (+ (pow beta 3) (pow 1.0 3)) (- alpha (* alpha beta))) (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (- (* alpha alpha) (* (* alpha beta) (* alpha beta)))))) (sqrt (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (- alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (+ (pow beta 3) (pow 1.0 3)) (- alpha (* alpha beta))) (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (- (* alpha alpha) (* (* alpha beta) (* alpha beta))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (128 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (- alpha (* beta alpha)) (+ (pow beta 3) (pow 1.0 3))) (* (+ (* 1.0 (- 1.0 beta)) (* beta beta)) (* (- alpha (* beta alpha)) (+ (* beta alpha) alpha)))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (* (- alpha (* beta alpha)) (+ (pow beta 3) (pow 1.0 3))) (* (+ (* 1.0 (- 1.0 beta)) (* beta beta)) (* (- alpha (* beta alpha)) (+ (* beta alpha) alpha))))) (sqrt (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (- alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 32 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (* (- (* beta beta) (* 1.0 1.0)) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))) (* (- beta 1.0) (+ (pow alpha 3) (pow (* alpha beta) 3))))) (sqrt (* (- beta 1.0) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (- (* beta beta) (* 1.0 1.0)) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))) (* (- beta 1.0) (+ (pow alpha 3) (pow (* alpha beta) 3)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (224 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (- beta 1.0) (pow alpha 3)) (+ (+ (* (* (* alpha beta) (* alpha beta)) (* (* alpha beta) (- beta 1.0))) (* (* (- beta 1.0) (* alpha alpha)) (+ beta 1.0))) (* (* (* (* alpha beta) (- beta 1.0)) (- (* alpha beta) alpha)) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (* (- beta 1.0) (pow alpha 3)) (+ (+ (* (* (* alpha beta) (* alpha beta)) (* (* alpha beta) (- beta 1.0))) (* (* (- beta 1.0) (* alpha alpha)) (+ beta 1.0))) (* (* (* (* alpha beta) (- beta 1.0)) (- (* alpha beta) alpha)) (+ beta 1.0))))) (sqrt (* (- beta 1.0) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 33 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (* (- (* beta beta) (* 1.0 1.0)) (- alpha (* alpha beta))) (* (- beta 1.0) (- (* alpha alpha) (* (* alpha beta) (* alpha beta)))))) (sqrt (* (- beta 1.0) (- alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (- (* beta beta) (* 1.0 1.0)) (- alpha (* alpha beta))) (* (- beta 1.0) (- (* alpha alpha) (* (* alpha beta) (* alpha beta))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- alpha (* alpha beta)) (+ (* (- beta 1.0) (+ alpha (* alpha beta))) (* (- beta 1.0) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (* (/ (/ (sqrt (* (- alpha (* alpha beta)) (+ (* (- beta 1.0) (+ alpha (* alpha beta))) (* (- beta 1.0) (+ beta 1.0))))) (sqrt (* (- beta 1.0) (- alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 34 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (pow (+ beta 1.0) 3) (pow (+ alpha (* alpha beta)) 3))) (sqrt (+ (* (+ beta 1.0) (+ beta 1.0)) (- (* (+ alpha (* alpha beta)) (+ alpha (* alpha beta))) (* (+ beta 1.0) (+ alpha (* alpha beta))))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (+ beta 1.0) 3) (pow (+ alpha (* alpha beta)) 3)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (pow (+ alpha (* alpha beta)) 3) (pow (+ 1.0 beta) 3)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (* (/ (/ (sqrt (+ (pow (+ alpha (* alpha beta)) 3) (pow (+ 1.0 beta) 3))) (sqrt (+ (* (+ beta 1.0) (+ beta 1.0)) (- (* (+ alpha (* alpha beta)) (+ alpha (* alpha beta))) (* (+ beta 1.0) (+ alpha (* alpha beta))))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 35 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (/ (sqrt (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha (* alpha beta)) (+ alpha (* alpha beta))))) (sqrt (- (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha (* alpha beta)) (+ alpha (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (425 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* (+ 1.0 beta) (+ 1.0 beta)) (* (+ (* alpha beta) alpha) (+ (* alpha beta) alpha))))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (* (/ (/ (sqrt (- (* (+ 1.0 beta) (+ 1.0 beta)) (* (+ (* alpha beta) alpha) (+ (* alpha beta) alpha)))) (sqrt (- (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 36 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (* (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 37 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (fabs (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ alpha (+ 1.0 beta)) (* alpha beta)))
* [misc]simplify:  Simplified (2 1 1 1 1) to (λ (alpha beta) (/ (* (/ (fabs (sqrt (+ (+ alpha (+ 1.0 beta)) (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 38 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (* 1 (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 39 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (pow (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (+ 1 1)) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ 2 (+ alpha beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (pow (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ 2 (+ alpha beta))) (+ 1 1)) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to 2
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (pow (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) 2) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 40 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (pow (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) 1) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (134 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (* alpha beta) (+ alpha (+ 1.0 beta))) (+ (+ alpha beta) 2)) (+ (+ alpha beta) 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (pow (/ (/ (+ (* alpha beta) (+ alpha (+ 1.0 beta))) (+ (+ alpha beta) 2)) (+ (+ alpha beta) 2)) 1) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 41 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (pow (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) 2) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 42 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (pow (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (+ 1 1)) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ 2 (+ alpha beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (pow (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ 2 (+ alpha beta))) (+ 1 1)) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 43 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (pow (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) 1) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 44 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (exp (+ (- (log (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (log (+ (+ alpha 2) beta))) (- (log (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (log (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (+ (- (log (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (log (+ (+ alpha 2) beta))) (- (log (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (log (+ (+ alpha 2) beta))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (272 enodes)
* [exit]simplify:  Simplified to (+ (- (log (sqrt (+ (+ 1.0 (* alpha beta)) (+ beta alpha)))) (log (+ alpha (+ beta 2)))) (- (log (sqrt (+ (+ 1.0 (* alpha beta)) (+ beta alpha)))) (log (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (exp (+ (- (log (sqrt (+ (+ 1.0 (* alpha beta)) (+ beta alpha)))) (log (+ alpha (+ beta 2)))) (- (log (sqrt (+ (+ 1.0 (* alpha beta)) (+ beta alpha)))) (log (+ alpha (+ beta 2)))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 45 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (exp (+ (- (log (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (log (+ (+ alpha 2) beta))) (log (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (+ (- (log (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (log (+ (+ alpha 2) beta))) (log (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (175 enodes)
* * [misc]simplify:  iters left: 1 (254 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (sqrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (+ alpha (+ beta 2)))) (log (/ (sqrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (exp (+ (log (/ (sqrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (+ alpha (+ beta 2)))) (log (/ (sqrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta))) (+ alpha (+ beta 2)))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 46 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (exp (+ (log (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (- (log (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (log (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (+ (log (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (- (log (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (log (+ (+ alpha 2) beta))))
* * [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 (119 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (273 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (+ alpha (+ beta 2)))) (log (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (exp (+ (log (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (+ alpha (+ beta 2)))) (log (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (+ alpha (+ beta 2)))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 47 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (exp (+ (log (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (log (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (+ (log (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (log (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))
* * [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 (103 enodes)
* * [misc]simplify:  iters left: 2 (141 enodes)
* * [misc]simplify:  iters left: 1 (174 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (sqrt (+ (+ alpha (+ 1.0 beta)) (* alpha beta))) (+ alpha (+ beta 2)))) (log (/ (sqrt (+ (+ alpha (+ 1.0 beta)) (* alpha beta))) (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (exp (+ (log (/ (sqrt (+ (+ alpha (+ 1.0 beta)) (* alpha beta))) (+ alpha (+ beta 2)))) (log (/ (sqrt (+ (+ alpha (+ 1.0 beta)) (* alpha beta))) (+ alpha (+ beta 2)))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 48 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (exp (log (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 49 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (log (exp (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 50 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (cbrt (* (/ (* (* (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta))) (/ (* (* (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (* (/ (* (* (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta))) (/ (* (* (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (54 enodes)
* * [misc]simplify:  iters left: 4 (257 enodes)
* [exit]simplify:  Simplified to (* (/ (+ 1.0 (+ (+ alpha beta) (* alpha beta))) (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha)))) (* (/ (+ 1.0 (+ (+ alpha beta) (* alpha beta))) (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha)))) (/ (+ 1.0 (+ (+ alpha beta) (* alpha beta))) (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (cbrt (* (/ (+ 1.0 (+ (+ alpha beta) (* alpha beta))) (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha)))) (* (/ (+ 1.0 (+ (+ alpha beta) (* alpha beta))) (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha)))) (/ (+ 1.0 (+ (+ alpha beta) (* alpha beta))) (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 51 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (cbrt (* (/ (* (* (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta))) (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (* (/ (* (* (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta))) (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (289 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (+ (+ alpha beta) (* alpha beta)) 1.0) (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha)))) (* (/ (+ (+ (+ alpha beta) (* alpha beta)) 1.0) (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha)))) (/ (+ (+ (+ alpha beta) (* alpha beta)) 1.0) (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (cbrt (* (/ (+ (+ (+ alpha beta) (* alpha beta)) 1.0) (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha)))) (* (/ (+ (+ (+ alpha beta) (* alpha beta)) 1.0) (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha)))) (/ (+ (+ (+ alpha beta) (* alpha beta)) 1.0) (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 52 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (cbrt (* (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (/ (* (* (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (* (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (/ (* (* (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (64 enodes)
* * [misc]simplify:  iters left: 4 (287 enodes)
* [exit]simplify:  Simplified to (* (* (/ (+ (+ alpha (* alpha beta)) (+ 1.0 beta)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha))) (/ (+ (+ alpha (* alpha beta)) (+ 1.0 beta)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)))) (/ (+ (+ alpha (* alpha beta)) (+ 1.0 beta)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (cbrt (* (* (/ (+ (+ alpha (* alpha beta)) (+ 1.0 beta)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha))) (/ (+ (+ alpha (* alpha beta)) (+ 1.0 beta)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)))) (/ (+ (+ alpha (* alpha beta)) (+ 1.0 beta)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 53 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (cbrt (* (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (* (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (243 enodes)
* [exit]simplify:  Simplified to (pow (/ (/ (+ (+ (+ alpha beta) (* alpha beta)) 1.0) (+ alpha (+ beta 2))) (+ alpha (+ beta 2))) 3)
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (cbrt (pow (/ (/ (+ (+ (+ alpha beta) (* alpha beta)) 1.0) (+ alpha (+ beta 2))) (+ alpha (+ beta 2))) 3)) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 54 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (cbrt (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (cbrt (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))) (cbrt (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 55 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (cbrt (* (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 56 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (sqrt (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (sqrt (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 57 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (* (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (78 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (+ alpha (+ (+ 1.0 beta) (* alpha beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (+ alpha (+ (+ 1.0 beta) (* alpha beta))) (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (229 enodes)
* [exit]simplify:  Simplified to (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (/ (+ alpha (+ (+ 1.0 beta) (* alpha beta))) (* (+ beta (+ 2 alpha)) (+ beta (+ 2 alpha)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 58 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* 1 (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 59 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (cbrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (cbrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (cbrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (cbrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (cbrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))) (cbrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ (+ alpha beta) 2)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 60 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (sqrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (sqrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (sqrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (sqrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ (+ alpha beta) 2)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 61 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 62 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 63 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) 1)) (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) 1)) (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (+ beta (+ alpha 2)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 64 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 65 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 66 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) 1)) (/ (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) 1)) (/ (sqrt (cbrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (+ beta (+ alpha 2)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 67 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 68 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 69 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) 1)) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) 1)) (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (+ beta (+ alpha 2)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 70 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt 1) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt 1) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ alpha beta) 2)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 71 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt 1) (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt 1) (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ alpha beta) 2)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 72 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt 1) 1)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ 2 (+ alpha beta)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt 1) 1)) (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ 2 (+ alpha beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 73 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt 1) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt 1) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ alpha beta) 2)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 74 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt 1) (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt 1) (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ alpha beta) 2)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 75 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt 1) 1)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ 2 (+ alpha beta)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt 1) 1)) (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ 2 (+ alpha beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 76 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 77 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 78 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) 1)) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) 1)) (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (+ beta (+ alpha 2)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 79 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ 1 (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ 1 (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))) (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ alpha beta) 2)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 80 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ 1 (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ 1 (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ alpha beta) 2)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 81 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ 1 1)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ 2 (+ alpha beta)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ 1 1)) (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ 2 (+ alpha beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 82 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) 1) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ 2 (+ alpha beta)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) 1) (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ 2 (+ alpha beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 83 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (/ 1 (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ 1 (+ (+ alpha 2) beta))
* * [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 (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (/ 1 (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 84 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (pow (+ alpha 2) 3) (pow beta 3)))) (+ (* (+ alpha 2) (+ alpha 2)) (- (* beta beta) (* (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (+ (* (+ alpha 2) (+ alpha 2)) (- (* beta beta) (* (+ alpha 2) beta)))
* * [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 (212 enodes)
* [exit]simplify:  Simplified to (+ (* beta beta) (* (+ (- beta) (+ 2 alpha)) (+ 2 alpha)))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (pow (+ alpha 2) 3) (pow beta 3)))) (+ (* beta beta) (* (+ (- beta) (+ 2 alpha)) (+ 2 alpha)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 85 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (- (* (+ alpha 2) (+ alpha 2)) (* beta beta)))) (- (+ alpha 2) beta)) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (- (+ alpha 2) beta)
* * [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 beta) alpha)
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (- (* (+ alpha 2) (+ alpha 2)) (* beta beta)))) (+ (- 2 beta) alpha)) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 86 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (* (cbrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (cbrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (* (cbrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (cbrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ (+ beta 2) alpha))) (cbrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (cbrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ (+ beta 2) alpha))) (cbrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ (+ beta 2) alpha)))) (* (cbrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 87 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (sqrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (* (sqrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (sqrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ (+ alpha beta) 2))) (* (sqrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 88 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* * [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 (100 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (cbrt (+ beta (+ 2 alpha)))) (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (cbrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (cbrt (+ beta (+ 2 alpha)))) (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (cbrt (+ beta (+ 2 alpha))))) (* (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 89 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (sqrt (+ (+ alpha 2) beta))) (* (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (/ (sqrt (+ alpha (+ beta 2))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (/ (sqrt (+ alpha (+ beta 2))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))))) (* (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 90 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) 1) (* (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))))) (* (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 91 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (/ (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* * [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 (84 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ alpha (+ 1.0 beta)) (* alpha beta)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (fabs (cbrt (+ (+ alpha (+ 1.0 beta)) (* alpha beta)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (* (/ (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 92 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (sqrt (+ (+ alpha 2) beta))) (* (/ (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (sqrt (+ beta (+ 2 alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (fabs (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (sqrt (+ beta (+ 2 alpha)))) (* (/ (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 93 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) 1) (* (/ (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (/ (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 94 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (101 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 95 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 96 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) 1) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ 1.0 (* alpha beta)) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (sqrt (sqrt (+ (+ 1.0 (* alpha beta)) (+ alpha beta)))) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 97 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt 1) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* * [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 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ 1 (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 98 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt 1) (sqrt (+ (+ alpha 2) beta))) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (+ (+ alpha 2) beta)))
* * [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 (+ beta (+ 2 alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ 1 (sqrt (+ beta (+ 2 alpha)))) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 99 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt 1) 1) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [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 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 100 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt 1) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* * [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 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ 1 (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 101 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt 1) (sqrt (+ (+ alpha 2) beta))) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (+ (+ alpha 2) beta)))
* * [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 (+ beta (+ 2 alpha))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ 1 (sqrt (+ beta (+ 2 alpha)))) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 102 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt 1) 1) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [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 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 103 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (101 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 104 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 105 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) 1) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ 1.0 (* alpha beta)) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (sqrt (sqrt (+ (+ 1.0 (* alpha beta)) (+ alpha beta)))) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 106 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ 1 (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* * [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 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ 1 (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 107 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ 1 (sqrt (+ (+ alpha 2) beta))) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ (+ alpha 2) beta)))
* * [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 (21 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ 1 (sqrt (+ (+ alpha 2) beta))) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 108 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ 1 1) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ 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 (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 109 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* 1 (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 110 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (/ 1 (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ alpha (+ 1.0 beta)) (* alpha beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (sqrt (+ (+ alpha (+ 1.0 beta)) (* alpha beta))) (* (/ 1 (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 111 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (pow (+ alpha 2) 3) (pow beta 3))) (* (+ (* (+ alpha 2) (+ alpha 2)) (- (* beta beta) (* (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (pow (+ alpha 2) 3) (pow beta 3)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (423 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ 1.0 beta) (* alpha beta)) alpha)) (+ (pow beta 3) (pow (+ alpha 2) 3)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ (+ 1.0 beta) (* alpha beta)) alpha)) (+ (pow beta 3) (pow (+ alpha 2) 3))) (* (+ (* (+ alpha 2) (+ alpha 2)) (- (* beta beta) (* (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 112 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (- (* (+ alpha 2) (+ alpha 2)) (* beta beta))) (* (- (+ alpha 2) beta) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (- (* (+ alpha 2) (+ alpha 2)) (* beta beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ alpha (+ (+ 1.0 beta) (* alpha beta)))) (- (* (+ alpha 2) (+ alpha 2)) (* beta beta)))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ alpha (+ (+ 1.0 beta) (* alpha beta)))) (- (* (+ alpha 2) (+ alpha 2)) (* beta beta))) (* (- (+ alpha 2) beta) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 113 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (+ (+ alpha 2) beta)
* * [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 (+ 2 alpha))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ beta (+ 2 alpha))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 114 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha 2) beta)) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (* (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ alpha (+ 1.0 beta))) (+ (+ alpha beta) 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (+ (* alpha beta) (+ alpha (+ 1.0 beta))) (+ (+ alpha beta) 2)) (+ (+ alpha 2) beta)) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 115 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 116 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (pow (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) 1)) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 117 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (exp (- (log (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (log (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (- (log (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (log (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (log (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (exp (- (log (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (log (+ (+ beta 2) alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 118 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (exp (log (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 119 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (log (exp (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 120 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (cbrt (/ (* (* (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (* (* (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (* (+ (+ alpha 2) beta) (+ (+ alpha 2) beta)) (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (209 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ 1.0 (+ (+ alpha beta) (* alpha beta)))) (/ (pow (+ beta (+ 2 alpha)) 3) (+ 1.0 (+ (+ alpha beta) (* alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (cbrt (/ (sqrt (+ 1.0 (+ (+ alpha beta) (* alpha beta)))) (/ (pow (+ beta (+ 2 alpha)) 3) (+ 1.0 (+ (+ alpha beta) (* alpha beta))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 121 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (* (cbrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (cbrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (cbrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 122 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (cbrt (* (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 123 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (sqrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (sqrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 124 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (- (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (- (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 125 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* * [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 (100 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (cbrt (+ beta (+ 2 alpha)))) (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (cbrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (* (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (cbrt (+ beta (+ 2 alpha)))) (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (cbrt (+ beta (+ 2 alpha))))) (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 126 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (/ (sqrt (+ alpha (+ beta 2))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (/ (sqrt (+ alpha (+ beta 2))) (cbrt (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))))) (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (sqrt (+ (+ alpha 2) beta))) (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 127 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) 1) (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (139 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (* (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))))) (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (* (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (+ beta (+ alpha 2))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 128 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* * [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 (84 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ alpha (+ 1.0 beta)) (* alpha beta)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (fabs (cbrt (+ (+ alpha (+ 1.0 beta)) (* alpha beta)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (/ (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (fabs (cbrt (+ (+ alpha (+ 1.0 beta)) (* alpha beta)))) (* (cbrt (+ alpha (+ beta 2))) (cbrt (+ alpha (+ beta 2))))) (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 129 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (sqrt (+ beta (+ 2 alpha))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (fabs (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (sqrt (+ beta (+ 2 alpha)))) (/ (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (fabs (cbrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (sqrt (+ beta (+ 2 alpha)))) (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 130 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) 1) (/ (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (/ (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (/ (sqrt (cbrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (+ beta (+ alpha 2))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 131 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (101 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 132 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 133 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ 1.0 (* alpha beta)) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (sqrt (sqrt (+ (+ 1.0 (* alpha beta)) (+ alpha beta)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (sqrt (sqrt (+ (+ 1.0 (* alpha beta)) (+ alpha beta)))) (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (+ beta (+ alpha 2))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 134 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt 1) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* * [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 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ 1 (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ 1 (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ alpha beta) 2))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 135 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt 1) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (+ (+ alpha 2) beta)))
* * [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 (+ beta (+ 2 alpha))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ 1 (sqrt (+ beta (+ 2 alpha)))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ 1 (sqrt (+ beta (+ 2 alpha)))) (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ alpha beta) 2))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 136 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt 1) 1) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [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) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* 1 (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ 2 (+ alpha beta)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* 1 (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ 2 (+ alpha beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 137 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt 1) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* * [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 (29 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ 1 (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ 1 (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ alpha beta) 2))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 138 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt 1) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (+ (+ alpha 2) beta)))
* * [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 (+ beta (+ 2 alpha))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ 1 (sqrt (+ beta (+ 2 alpha)))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ 1 (sqrt (+ beta (+ 2 alpha)))) (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ alpha beta) 2))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 139 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt 1) 1) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [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) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* 1 (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ 2 (+ alpha beta)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* 1 (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ 2 (+ alpha beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 140 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (101 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (* (cbrt (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) 2)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (+ (+ beta 2) alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 141 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 142 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) 1) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (+ 1.0 (* alpha beta)) (+ alpha beta))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (sqrt (sqrt (+ (+ 1.0 (* alpha beta)) (+ alpha beta)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (+ beta (+ alpha 2)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (sqrt (sqrt (+ (+ 1.0 (* alpha beta)) (+ alpha beta)))) (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ 1.0 beta))))) (+ beta (+ alpha 2))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 143 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ 1 (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta))))
* * [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 (24 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (/ 1 (cbrt (+ (+ alpha 2) beta))) (cbrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ 1 (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (cbrt (+ (+ alpha beta) 2))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 144 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ 1 (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ (+ alpha 2) beta)))
* * [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 (21 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ 1 (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ 1 (sqrt (+ (+ alpha 2) beta))) (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ alpha beta) 2))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 145 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ 1 1) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ 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 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* 1 (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (103 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ 2 (+ alpha beta)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* 1 (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (+ 2 (+ alpha beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 146 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* 1 (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 147 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (/ 1 (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 148 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ 1 (/ (+ (+ alpha 2) beta) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 149 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (cbrt (+ (+ alpha 2) beta))
* * [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 (cbrt (+ (+ beta alpha) 2))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (* (cbrt (+ (+ alpha 2) beta)) (cbrt (+ (+ alpha 2) beta)))) (cbrt (+ (+ beta alpha) 2)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 150 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta))) (sqrt (+ (+ alpha 2) beta)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (+ (+ alpha 2) beta))
* * [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 (+ (+ beta alpha) 2))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta))) (sqrt (+ (+ beta alpha) 2)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 151 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) 1) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (+ (+ alpha 2) beta)
* * [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 (+ 2 alpha))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) 1) (+ beta (+ 2 alpha)))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 152 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (/ (+ (+ alpha 2) beta) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (95 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ alpha (+ (+ 1.0 beta) (* alpha beta))))) (cbrt (sqrt (+ alpha (+ (+ 1.0 beta) (* alpha beta))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (* (cbrt (sqrt (+ alpha (+ (+ 1.0 beta) (* alpha beta))))) (cbrt (sqrt (+ alpha (+ (+ 1.0 beta) (* alpha beta)))))) (/ (+ (+ alpha 2) beta) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 153 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (/ (+ (+ alpha 2) beta) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (/ (+ (+ alpha 2) beta) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 154 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (/ (+ (+ alpha 2) beta) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))
* * [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 (67 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ beta (+ (+ 1.0 alpha) (* alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (sqrt (+ beta (+ (+ 1.0 alpha) (* alpha beta))))) (/ (+ (+ alpha 2) beta) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 155 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt 1) (/ (+ (+ alpha 2) beta) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [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) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ 1 (/ (+ (+ alpha 2) beta) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 156 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt 1) (/ (+ (+ alpha 2) beta) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [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) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ 1 (/ (+ (+ alpha 2) beta) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 157 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (/ (+ (+ alpha 2) beta) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))
* * [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 (67 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ beta (+ (+ 1.0 alpha) (* alpha beta)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (sqrt (+ beta (+ (+ 1.0 alpha) (* alpha beta))))) (/ (+ (+ alpha 2) beta) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 158 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ 1 (/ (+ (+ alpha 2) beta) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* * * * [misc]progress:  [ 159 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (pow (+ alpha 2) 3) (pow beta 3))) (+ (* (+ alpha 2) (+ alpha 2)) (- (* beta beta) (* (+ alpha 2) beta))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (+ (* (+ alpha 2) (+ alpha 2)) (- (* beta beta) (* (+ alpha 2) beta)))
* * [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 (212 enodes)
* [exit]simplify:  Simplified to (+ (* beta beta) (* (+ (- beta) (+ 2 alpha)) (+ 2 alpha)))
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (pow (+ alpha 2) 3) (pow beta 3))) (+ (* beta beta) (* (+ (- beta) (+ 2 alpha)) (+ 2 alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 160 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (- (* (+ alpha 2) (+ alpha 2)) (* beta beta))) (- (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (- (+ alpha 2) beta)
* * [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 beta) alpha)
* [misc]simplify:  Simplified (2 1 2 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (- (* (+ alpha 2) (+ alpha 2)) (* beta beta))) (+ (- 2 beta) alpha))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 161 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (* (+ (pow beta 3) (pow 1.0 3)) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))) (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (+ (pow alpha 3) (pow (* alpha beta) 3))))) (* (+ (+ alpha 2) beta) (sqrt (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (+ (pow beta 3) (pow 1.0 3)) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))) (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (+ (pow alpha 3) (pow (* alpha beta) 3)))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (239 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (+ (* (- (* beta alpha) alpha) (* beta alpha)) (* alpha alpha)) (+ (pow beta 3) (pow 1.0 3))) (* (+ (* beta beta) (* 1.0 (- 1.0 beta))) (+ (pow (* beta alpha) 3) (pow alpha 3)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (* (+ (* (- (* beta alpha) alpha) (* beta alpha)) (* alpha alpha)) (+ (pow beta 3) (pow 1.0 3))) (* (+ (* beta beta) (* 1.0 (- 1.0 beta))) (+ (pow (* beta alpha) 3) (pow alpha 3))))) (* (+ (+ alpha 2) beta) (sqrt (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 162 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (* (+ (pow beta 3) (pow 1.0 3)) (- alpha (* alpha beta))) (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (- (* alpha alpha) (* (* alpha beta) (* alpha beta)))))) (* (+ (+ alpha 2) beta) (sqrt (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (- alpha (* alpha beta))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (+ (pow beta 3) (pow 1.0 3)) (- alpha (* alpha beta))) (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (- (* alpha alpha) (* (* alpha beta) (* alpha beta))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (128 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (- alpha (* beta alpha)) (+ (pow beta 3) (pow 1.0 3))) (* (+ (* 1.0 (- 1.0 beta)) (* beta beta)) (* (- alpha (* beta alpha)) (+ (* beta alpha) alpha)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (* (- alpha (* beta alpha)) (+ (pow beta 3) (pow 1.0 3))) (* (+ (* 1.0 (- 1.0 beta)) (* beta beta)) (* (- alpha (* beta alpha)) (+ (* beta alpha) alpha))))) (* (+ (+ alpha 2) beta) (sqrt (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (- alpha (* alpha beta))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 163 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (* (- (* beta beta) (* 1.0 1.0)) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))) (* (- beta 1.0) (+ (pow alpha 3) (pow (* alpha beta) 3))))) (* (+ (+ alpha 2) beta) (sqrt (* (- beta 1.0) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (- (* beta beta) (* 1.0 1.0)) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))) (* (- beta 1.0) (+ (pow alpha 3) (pow (* alpha beta) 3)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (224 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (- beta 1.0) (pow alpha 3)) (+ (+ (* (* (* alpha beta) (* alpha beta)) (* (* alpha beta) (- beta 1.0))) (* (* (- beta 1.0) (* alpha alpha)) (+ beta 1.0))) (* (* (* (* alpha beta) (- beta 1.0)) (- (* alpha beta) alpha)) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (* (- beta 1.0) (pow alpha 3)) (+ (+ (* (* (* alpha beta) (* alpha beta)) (* (* alpha beta) (- beta 1.0))) (* (* (- beta 1.0) (* alpha alpha)) (+ beta 1.0))) (* (* (* (* alpha beta) (- beta 1.0)) (- (* alpha beta) alpha)) (+ beta 1.0))))) (* (+ (+ alpha 2) beta) (sqrt (* (- beta 1.0) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 164 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (* (- (* beta beta) (* 1.0 1.0)) (- alpha (* alpha beta))) (* (- beta 1.0) (- (* alpha alpha) (* (* alpha beta) (* alpha beta)))))) (* (+ (+ alpha 2) beta) (sqrt (* (- beta 1.0) (- alpha (* alpha beta))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (- (* beta beta) (* 1.0 1.0)) (- alpha (* alpha beta))) (* (- beta 1.0) (- (* alpha alpha) (* (* alpha beta) (* alpha beta))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- alpha (* alpha beta)) (+ (* (- beta 1.0) (+ alpha (* alpha beta))) (* (- beta 1.0) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (* (- alpha (* alpha beta)) (+ (* (- beta 1.0) (+ alpha (* alpha beta))) (* (- beta 1.0) (+ beta 1.0))))) (* (+ (+ alpha 2) beta) (sqrt (* (- beta 1.0) (- alpha (* alpha beta))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 165 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (pow (+ beta 1.0) 3) (pow (+ alpha (* alpha beta)) 3))) (* (+ (+ alpha 2) beta) (sqrt (+ (* (+ beta 1.0) (+ beta 1.0)) (- (* (+ alpha (* alpha beta)) (+ alpha (* alpha beta))) (* (+ beta 1.0) (+ alpha (* alpha beta))))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (+ beta 1.0) 3) (pow (+ alpha (* alpha beta)) 3)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (pow (+ alpha (* alpha beta)) 3) (pow (+ 1.0 beta) 3)))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (pow (+ alpha (* alpha beta)) 3) (pow (+ 1.0 beta) 3))) (* (+ (+ alpha 2) beta) (sqrt (+ (* (+ beta 1.0) (+ beta 1.0)) (- (* (+ alpha (* alpha beta)) (+ alpha (* alpha beta))) (* (+ beta 1.0) (+ alpha (* alpha beta))))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 166 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha (* alpha beta)) (+ alpha (* alpha beta))))) (* (+ (+ alpha 2) beta) (sqrt (- (+ beta 1.0) (+ alpha (* alpha beta))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (sqrt (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha (* alpha beta)) (+ alpha (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (425 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* (+ 1.0 beta) (+ 1.0 beta)) (* (+ (* alpha beta) alpha) (+ (* alpha beta) alpha))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (- (* (+ 1.0 beta) (+ 1.0 beta)) (* (+ (* alpha beta) alpha) (+ (* alpha beta) alpha)))) (* (+ (+ alpha 2) beta) (sqrt (- (+ beta 1.0) (+ alpha (* alpha beta))))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 167 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (sqrt 1.0) (+ (* 1/2 (* (sqrt 1.0) beta)) (* 1/2 (/ alpha (sqrt 1.0))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [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 (24 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (+ (* (sqrt 1.0) (* 1/2 beta)) (+ (sqrt 1.0) (/ (* alpha 1/2) (sqrt 1.0))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (* (sqrt 1.0) (* 1/2 beta)) (+ (sqrt 1.0) (/ (* alpha 1/2) (sqrt 1.0)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 168 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha)))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ +nan.0 (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 169 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha)))))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha))))))
* [misc]simplify:  Simplified (2 1 2 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ +nan.0 (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 170 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (+ (sqrt 1.0) (+ (* 1/2 (* (sqrt 1.0) beta)) (* 1/2 (/ alpha (sqrt 1.0))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [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 (24 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (+ (* (sqrt 1.0) (* 1/2 beta)) (+ (sqrt 1.0) (/ (* alpha 1/2) (sqrt 1.0))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (* (/ (+ (* (sqrt 1.0) (* 1/2 beta)) (+ (sqrt 1.0) (/ (* alpha 1/2) (sqrt 1.0)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 171 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha)))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [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 (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 172 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha)))))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [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 (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 173 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (- (+ 0.25 (* 0.125 (* beta alpha))) (* 0.0625 (pow beta 2))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (- (+ 0.25 (* 0.125 (* beta alpha))) (* 0.0625 (pow beta 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* * [misc]simplify:  iters left: 1 (92 enodes)
* [exit]simplify:  Simplified to (+ (* beta (- (* alpha 0.125) (* 0.0625 beta))) 0.25)
* [misc]simplify:  Simplified (2 1) to (λ (alpha beta) (/ (+ (* beta (- (* alpha 0.125) (* 0.0625 beta))) 0.25) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 174 / 178 ] 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:  [ 175 / 178 ] 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:  [ 176 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (- (+ (* 1/2 (sqrt 1.0)) (* 1/4 (/ alpha (sqrt 1.0)))) (+ (* 1/16 (* (sqrt 1.0) (pow beta 2))) (* 1/4 (* (sqrt 1.0) alpha))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))>
* [enter]simplify:  Simplifying (- (+ (* 1/2 (sqrt 1.0)) (* 1/4 (/ alpha (sqrt 1.0)))) (+ (* 1/16 (* (sqrt 1.0) (pow beta 2))) (* 1/4 (* (sqrt 1.0) alpha))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (194 enodes)
* * [misc]simplify:  iters left: 2 (383 enodes)
* [exit]simplify:  Simplified to (+ (/ (* 1/4 alpha) (sqrt 1.0)) (* (sqrt 1.0) (- (- 1/2 (* 1/4 alpha)) (* beta (* 1/16 beta)))))
* [misc]simplify:  Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (+ (/ (* 1/4 alpha) (sqrt 1.0)) (* (sqrt 1.0) (- (- 1/2 (* 1/4 alpha)) (* beta (* 1/16 beta)))))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 177 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) 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 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) 0) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * * [misc]progress:  [ 178 / 178 ] simplifiying candidate #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) 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 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) 0) (+ (+ alpha beta) (+ (* 2 1) 1.0))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (+ alpha (* alpha beta))) 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 (+ alpha (* 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 (* 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]backup-simplify:  Simplify (+ beta 1.0) into (+ beta 1.0)
* [misc]backup-simplify:  Simplify (* 0 beta) 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 (+ (* 0 0) (* 1 beta)) into beta
* [misc]backup-simplify:  Simplify (+ 1 beta) 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) (+ alpha (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (+ alpha (* alpha beta))) 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 (+ alpha (* 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 (* alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* alpha 0) into 0
* [misc]backup-simplify:  Simplify (+ alpha 0) 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 (+ (* alpha 1) (* 0 0)) into alpha
* [misc]backup-simplify:  Simplify (+ 0 alpha) 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) (+ alpha (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta 1.0) (+ alpha (* alpha beta))) 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 (+ alpha (* 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 (* alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (* alpha 0) into 0
* [misc]backup-simplify:  Simplify (+ alpha 0) 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 (+ (* alpha 1) (* 0 0)) into alpha
* [misc]backup-simplify:  Simplify (+ 0 alpha) 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) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta)))) 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 (+ (/ 1 alpha) (* (/ 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 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]backup-simplify:  Simplify (* 1 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 beta)) 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) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta)))) 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 (+ (/ 1 alpha) (* (/ 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 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) 1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) 1.0) (+ (/ 1 alpha) (* (/ 1 alpha) (/ 1 beta)))) 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 (+ (/ 1 alpha) (* (/ 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 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 alpha) 1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 alpha) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) 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) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta))))) 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 (+ (/ 1 (- alpha)) (* (/ 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 (- 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]backup-simplify:  Simplify (* -1 (/ -1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ -1 (/ 1 beta)) 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) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta))))) 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 (+ (/ 1 (- alpha)) (* (/ 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 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) -1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) 1.0) (+ (/ 1 (- alpha)) (* (/ 1 (- alpha)) (/ 1 (- beta))))) 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 (+ (/ 1 (- alpha)) (* (/ 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 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 alpha) -1) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) 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 (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 alpha) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 0) 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 2 1 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 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]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 (sqrt (+ 1.0 alpha)) into (sqrt (+ 1.0 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (+ 1 alpha) into (+ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (+ 1 alpha) 0) 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 beta) (* beta alpha)) 1.0)) 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]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 (sqrt (+ beta 1.0)) into (sqrt (+ beta 1.0))
* [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) (* 2 (sqrt (+ beta 1.0)))) into (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 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]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 (sqrt (+ beta 1.0)) into (sqrt (+ beta 1.0))
* [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) (* 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 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0)) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ (/ 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))) 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]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 (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) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0)) 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]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 (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) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0)) 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]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 (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 (+ 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) 1.0) (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 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0)) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ (/ 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)))) 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]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 (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)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0)) 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]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 (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)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0)) 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]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 (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 (+ 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 (/ (- (- 1.0 (/ 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 2 1)
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 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]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 (sqrt (+ 1.0 alpha)) into (sqrt (+ 1.0 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (+ 1 alpha) into (+ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (+ 1 alpha) 0) 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 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 (sqrt (+ 2 alpha)) into (sqrt (+ 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) 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 (* 2 (sqrt (+ 2 alpha)))) into (* 1/2 (sqrt (/ 1 (+ 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ 1.0 alpha)) (sqrt (+ 2 alpha))) into (sqrt (/ (+ 1.0 alpha) (+ 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 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]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 (sqrt (+ beta 1.0)) into (sqrt (+ beta 1.0))
* [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) (* 2 (sqrt (+ beta 1.0)))) into (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 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 (sqrt (+ beta 2)) into (sqrt (+ beta 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 (/ 1 (* 2 (sqrt (+ beta 2)))) into (* 1/2 (sqrt (/ 1 (+ beta 2))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta 1.0)) (sqrt (+ beta 2))) into (sqrt (/ (+ beta 1.0) (+ beta 2)))
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 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]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 (sqrt (+ beta 1.0)) into (sqrt (+ beta 1.0))
* [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) (* 2 (sqrt (+ beta 1.0)))) into (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 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 (sqrt (+ beta 2)) into (sqrt (+ beta 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 (/ 1 (* 2 (sqrt (+ beta 2)))) into (* 1/2 (sqrt (/ 1 (+ beta 2))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta 1.0)) (sqrt (+ beta 2))) into (sqrt (/ (+ beta 1.0) (+ beta 2)))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ beta 1.0) (+ beta 2))) in beta
* [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 (sqrt 0.5) into (sqrt 0.5)
* [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 (* 2 (sqrt 0.5))) into (/ 0.125 (sqrt 0.5))
* [misc]backup-simplify:  Simplify (sqrt 0.5) into (sqrt 0.5)
* [misc]backup-simplify:  Simplify (- (/ (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0))))) (sqrt (+ beta 2))) (+ (* (sqrt (/ (+ beta 1.0) (+ beta 2))) (/ (* 1/2 (sqrt (/ 1 (+ beta 2)))) (sqrt (+ beta 2)))))) into (- (+ (* 1/2 (* (sqrt (/ 1 (* (+ beta 2) (+ beta 1.0)))) beta)) (* 1/2 (sqrt (/ 1 (* (+ beta 2) (+ beta 1.0)))))) (* 1/2 (sqrt (/ (+ beta 1.0) (pow (+ beta 2) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (* (sqrt (/ 1 (* (+ beta 2) (+ beta 1.0)))) beta)) (* 1/2 (sqrt (/ 1 (* (+ beta 2) (+ beta 1.0)))))) (* 1/2 (sqrt (/ (+ beta 1.0) (pow (+ beta 2) 3))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ 1 (* (+ beta 2) (+ beta 1.0)))) beta)) (* 1/2 (sqrt (/ 1 (* (+ beta 2) (+ beta 1.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (* (+ beta 2) (+ 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 (* (+ beta 2) (+ beta 1.0)))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ beta 2) (+ beta 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ beta 2) (+ beta 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (+ beta 2) (+ beta 1.0)) 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 (+ 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 2) into 2
* [misc]backup-simplify:  Simplify (+ 0 1.0) 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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) 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 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 (* (+ beta 2) (+ 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 (* (+ beta 2) (+ beta 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ beta 2) (+ beta 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (+ beta 2) (+ beta 1.0)) 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 (+ 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 2) into 2
* [misc]backup-simplify:  Simplify (+ 0 1.0) 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 (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) 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 (* 1/2 (sqrt (/ (+ beta 1.0) (pow (+ beta 2) 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))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ beta 1.0) (pow (+ beta 2) 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) 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 (* 2 4) into 8
* [misc]backup-simplify:  Simplify (/ 1.0 8) into 0.125
* [misc]backup-simplify:  Simplify (sqrt 0.125) into (sqrt 0.125)
* [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 (- (/ 1 8) (+ (* 0.125 (/ 12 8)))) into (- 0.0625)
* [misc]backup-simplify:  Simplify (/ (- 0.0625) (* 2 (sqrt 0.125))) into (/ -0.03125 (sqrt 0.125))
* [misc]backup-simplify:  Simplify (* (sqrt 0.5) 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 0.5)) into (* 1/2 (sqrt 0.5))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 (sqrt 0.5))) into (* 1/2 (sqrt 0.5))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 0.125)) into (* 1/2 (sqrt 0.125))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sqrt 0.125))) into (- (* 1/2 (sqrt 0.125)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (sqrt 0.5)) (- (* 1/2 (sqrt 0.125)))) into (- (* 1/2 (sqrt 0.5)) (* 1/2 (sqrt 0.125)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (sqrt 0.5)) (* 1/2 (sqrt 0.125))) into (- (* 1/2 (sqrt 0.5)) (* 1/2 (sqrt 0.125)))
* [misc]backup-simplify:  Simplify (/ 0.125 (sqrt 0.5)) into (/ 0.125 (sqrt 0.5))
* [misc]backup-simplify:  Simplify (+ (* (/ 0.125 (sqrt 0.5)) (* beta 1)) (+ (* (- (* 1/2 (sqrt 0.5)) (* 1/2 (sqrt 0.125))) (* 1 alpha)) (sqrt 0.5))) into (- (+ (sqrt 0.5) (+ (* 0.125 (/ beta (sqrt 0.5))) (* 1/2 (* (sqrt 0.5) alpha)))) (* 1/2 (* (sqrt 0.125) alpha)))
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0)) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0)) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ (/ 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))) 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]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 (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) (/ 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 (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 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0)) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ (/ 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))) 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]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 (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) (/ 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 (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 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0)) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ (/ 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))) 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]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 (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) (/ 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 (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 (* +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 (+ 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 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) 1.0) (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 (/ 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) (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]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 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 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.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 (- (+ (* (/ 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 (/ (- 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 (/ 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 (+ (* 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]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- (+ (* +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 3))) (- (+ (* +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 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 (/ 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 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 (+ (* 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 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.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 (+ 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 (+ (* (- +nan.0) (pow (* 1 (/ 1 alpha)) 2)) (+ (* (- +nan.0) (* 1 (/ 1 alpha))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0)) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0)) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ (/ 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)))) 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]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 (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)) (/ 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 (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 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0)) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ (/ 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)))) 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]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 (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)) (/ 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 (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 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0)) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ (/ 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)))) 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]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 (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)) (/ 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 (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 (* +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) 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 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 (/ (- (- 1.0 (/ 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 (- 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)) (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]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 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 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.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) 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 (+ (* 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 (- 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 (+ (* 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]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow beta 3))) (- (+ (* +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 3))) (- (+ (* +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 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 (/ 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 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 (+ (* 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 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.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 (+ 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 (+ (* (- +nan.0) (pow (* 1 (/ 1 (- alpha))) 2)) (+ (* (- +nan.0) (* 1 (/ 1 (- alpha)))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0)))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 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]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 (sqrt (+ 1.0 alpha)) into (sqrt (+ 1.0 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (+ 1 alpha) into (+ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (+ 1 alpha) 0) 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 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 (sqrt (+ 2 alpha)) into (sqrt (+ 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) 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 (* 2 (sqrt (+ 2 alpha)))) into (* 1/2 (sqrt (/ 1 (+ 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ 1.0 alpha)) (sqrt (+ 2 alpha))) into (sqrt (/ (+ 1.0 alpha) (+ 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 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 (sqrt (+ 2 alpha)) into (sqrt (+ 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) 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 (* 2 (sqrt (+ 2 alpha)))) into (* 1/2 (sqrt (/ 1 (+ 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (+ 1.0 alpha) (+ 2 alpha))) (sqrt (+ 2 alpha))) into (* (/ 1 (+ 2 alpha)) (sqrt (+ 1.0 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 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]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 (sqrt (+ beta 1.0)) into (sqrt (+ beta 1.0))
* [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) (* 2 (sqrt (+ beta 1.0)))) into (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 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 (sqrt (+ beta 2)) into (sqrt (+ beta 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 (/ 1 (* 2 (sqrt (+ beta 2)))) into (* 1/2 (sqrt (/ 1 (+ beta 2))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta 1.0)) (sqrt (+ beta 2))) into (sqrt (/ (+ beta 1.0) (+ beta 2)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 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 (sqrt (+ beta 2)) into (sqrt (+ beta 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 (/ 1 (* 2 (sqrt (+ beta 2)))) into (* 1/2 (sqrt (/ 1 (+ beta 2))))
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (+ beta 1.0) (+ beta 2))) (sqrt (+ beta 2))) into (* (/ 1 (+ beta 2)) (sqrt (+ beta 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 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]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 (sqrt (+ beta 1.0)) into (sqrt (+ beta 1.0))
* [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) (* 2 (sqrt (+ beta 1.0)))) into (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 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 (sqrt (+ beta 2)) into (sqrt (+ beta 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 (/ 1 (* 2 (sqrt (+ beta 2)))) into (* 1/2 (sqrt (/ 1 (+ beta 2))))
* [misc]backup-simplify:  Simplify (/ (sqrt (+ beta 1.0)) (sqrt (+ beta 2))) into (sqrt (/ (+ beta 1.0) (+ beta 2)))
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ 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 (sqrt (+ beta 2)) into (sqrt (+ beta 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 (/ 1 (* 2 (sqrt (+ beta 2)))) into (* 1/2 (sqrt (/ 1 (+ beta 2))))
* [misc]backup-simplify:  Simplify (/ (sqrt (/ (+ beta 1.0) (+ beta 2))) (sqrt (+ beta 2))) into (* (/ 1 (+ beta 2)) (sqrt (+ beta 1.0)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (+ beta 2)) (sqrt (+ beta 1.0))) in beta
* [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 (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 (* 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 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0))))) (sqrt (+ beta 2))) (+ (* (sqrt (/ (+ beta 1.0) (+ beta 2))) (/ (* 1/2 (sqrt (/ 1 (+ beta 2)))) (sqrt (+ beta 2)))))) into (- (+ (* 1/2 (* (sqrt (/ 1 (* (+ beta 2) (+ beta 1.0)))) beta)) (* 1/2 (sqrt (/ 1 (* (+ beta 2) (+ beta 1.0)))))) (* 1/2 (sqrt (/ (+ beta 1.0) (pow (+ beta 2) 3)))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 1/2 (* (sqrt (/ 1 (* (+ beta 2) (+ beta 1.0)))) beta)) (* 1/2 (sqrt (/ 1 (* (+ beta 2) (+ beta 1.0)))))) (* 1/2 (sqrt (/ (+ beta 1.0) (pow (+ beta 2) 3))))) (sqrt (+ beta 2))) (+ (* (* (/ 1 (+ beta 2)) (sqrt (+ beta 1.0))) (/ (* 1/2 (sqrt (/ 1 (+ beta 2)))) (sqrt (+ beta 2)))))) into (- (+ (* 1/2 (* (/ beta (+ beta 2)) (sqrt (/ 1 (+ beta 1.0))))) (* 1/2 (* (/ 1 (+ beta 2)) (sqrt (/ 1 (+ beta 1.0)))))) (* (/ 1 (pow (+ beta 2) 2)) (sqrt (+ beta 1.0))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (* (/ beta (+ beta 2)) (sqrt (/ 1 (+ beta 1.0))))) (* 1/2 (* (/ 1 (+ beta 2)) (sqrt (/ 1 (+ beta 1.0)))))) (* (/ 1 (pow (+ beta 2) 2)) (sqrt (+ beta 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (/ beta (+ beta 2)) (sqrt (/ 1 (+ beta 1.0))))) (* 1/2 (* (/ 1 (+ beta 2)) (sqrt (/ 1 (+ beta 1.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ beta (+ beta 2)) (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 (+ beta 2)) (sqrt (/ 1 (+ beta 1.0)))) 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 (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]taylor:  Taking taylor expansion of (* 1/2 (* (/ 1 (+ beta 2)) (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 (* (/ 1 (+ beta 2)) (sqrt (/ 1 (+ beta 1.0)))) in beta
* [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 (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]taylor:  Taking taylor expansion of (* (/ 1 (pow (+ beta 2) 2)) (sqrt (+ beta 1.0))) 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 (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 (* 1/2 (sqrt 1.0)) into (* 1/2 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (* 1/2 (* 1/2 (sqrt 1.0))) into (* 1/4 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (sqrt 1.0))) into (* 1/4 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (* 1/4 (sqrt 1.0)) into (* 1/4 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (- (* 1/4 (sqrt 1.0))) into (- (* 1/4 (sqrt 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 1/4 (sqrt 1.0)) (- (* 1/4 (sqrt 1.0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 1 2)))) into -1/4
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ 1/2 (sqrt 1.0))) (* -1/4 (sqrt 1.0))) into (- (* 1/4 (/ 1 (sqrt 1.0))) (* 1/4 (sqrt 1.0)))
* [misc]backup-simplify:  Simplify (- (* 1/4 (/ 1 (sqrt 1.0))) (* 1/4 (sqrt 1.0))) into (- (* 1/4 (/ 1 (sqrt 1.0))) (* 1/4 (sqrt 1.0)))
* [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 (pow (* 1/2 (* (+ beta 1) (sqrt (/ 1 (+ beta 1.0))))) 2) (+)) (* 2 (sqrt (+ beta 1.0)))) into (* -1/2 (* (+ (* 1/4 (/ 1 (+ beta 1.0))) (+ (* 1/4 (/ (pow beta 2) (+ beta 1.0))) (* 1/2 (/ beta (+ beta 1.0))))) (sqrt (/ 1 (+ beta 1.0)))))
* [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 (pow (* 1/2 (sqrt (/ 1 (+ beta 2)))) 2) (+)) (* 2 (sqrt (+ beta 2)))) into (* -1/8 (sqrt (/ 1 (pow (+ beta 2) 3))))
* [misc]backup-simplify:  Simplify (- (/ (* -1/2 (* (+ (* 1/4 (/ 1 (+ beta 1.0))) (+ (* 1/4 (/ (pow beta 2) (+ beta 1.0))) (* 1/2 (/ beta (+ beta 1.0))))) (sqrt (/ 1 (+ beta 1.0))))) (sqrt (+ beta 2))) (+ (* (sqrt (/ (+ beta 1.0) (+ beta 2))) (/ (* -1/8 (sqrt (/ 1 (pow (+ beta 2) 3)))) (sqrt (+ beta 2)))) (* (- (+ (* 1/2 (* (sqrt (/ 1 (* (+ beta 2) (+ beta 1.0)))) beta)) (* 1/2 (sqrt (/ 1 (* (+ beta 2) (+ beta 1.0)))))) (* 1/2 (sqrt (/ (+ beta 1.0) (pow (+ beta 2) 3))))) (/ (* 1/2 (sqrt (/ 1 (+ beta 2)))) (sqrt (+ beta 2)))))) into (- (* 3/8 (sqrt (/ (+ beta 1.0) (pow (+ beta 2) 5)))) (+ (* 1/4 (sqrt (/ 1 (* (pow (+ beta 2) 3) (+ beta 1.0))))) (+ (* 1/8 (* (sqrt (/ 1 (* (+ beta 2) (pow (+ beta 1.0) 3)))) (pow beta 2))) (+ (* 1/4 (* (sqrt (/ 1 (* (+ beta 2) (pow (+ beta 1.0) 3)))) beta)) (+ (* 1/8 (sqrt (/ 1 (* (+ beta 2) (pow (+ beta 1.0) 3))))) (* 1/4 (* (sqrt (/ 1 (* (pow (+ beta 2) 3) (+ beta 1.0)))) beta)))))))
* [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 (pow (* 1/2 (sqrt (/ 1 (+ beta 2)))) 2) (+)) (* 2 (sqrt (+ beta 2)))) into (* -1/8 (sqrt (/ 1 (pow (+ beta 2) 3))))
* [misc]backup-simplify:  Simplify (- (/ (- (* 3/8 (sqrt (/ (+ beta 1.0) (pow (+ beta 2) 5)))) (+ (* 1/4 (sqrt (/ 1 (* (pow (+ beta 2) 3) (+ beta 1.0))))) (+ (* 1/8 (* (sqrt (/ 1 (* (+ beta 2) (pow (+ beta 1.0) 3)))) (pow beta 2))) (+ (* 1/4 (* (sqrt (/ 1 (* (+ beta 2) (pow (+ beta 1.0) 3)))) beta)) (+ (* 1/8 (sqrt (/ 1 (* (+ beta 2) (pow (+ beta 1.0) 3))))) (* 1/4 (* (sqrt (/ 1 (* (pow (+ beta 2) 3) (+ beta 1.0)))) beta))))))) (sqrt (+ beta 2))) (+ (* (* (/ 1 (+ beta 2)) (sqrt (+ beta 1.0))) (/ (* -1/8 (sqrt (/ 1 (pow (+ beta 2) 3)))) (sqrt (+ beta 2)))) (* (- (+ (* 1/2 (* (/ beta (+ beta 2)) (sqrt (/ 1 (+ beta 1.0))))) (* 1/2 (* (/ 1 (+ beta 2)) (sqrt (/ 1 (+ beta 1.0)))))) (* (/ 1 (pow (+ beta 2) 2)) (sqrt (+ beta 1.0)))) (/ (* 1/2 (sqrt (/ 1 (+ beta 2)))) (sqrt (+ beta 2)))))) into (- (* (/ 1 (pow (+ beta 2) 3)) (sqrt (+ beta 1.0))) (+ (* 1/2 (* (/ 1 (pow (+ beta 2) 2)) (sqrt (/ 1 (+ beta 1.0))))) (+ (* 1/8 (* (/ (pow beta 2) (+ beta 2)) (sqrt (/ 1 (pow (+ beta 1.0) 3))))) (+ (* 1/4 (* (/ beta (+ beta 2)) (sqrt (/ 1 (pow (+ beta 1.0) 3))))) (+ (* 1/2 (* (/ beta (pow (+ beta 2) 2)) (sqrt (/ 1 (+ beta 1.0))))) (* 1/8 (* (/ 1 (+ beta 2)) (sqrt (/ 1 (pow (+ beta 1.0) 3))))))))))
* [misc]taylor:  Taking taylor expansion of (- (* (/ 1 (pow (+ beta 2) 3)) (sqrt (+ beta 1.0))) (+ (* 1/2 (* (/ 1 (pow (+ beta 2) 2)) (sqrt (/ 1 (+ beta 1.0))))) (+ (* 1/8 (* (/ (pow beta 2) (+ beta 2)) (sqrt (/ 1 (pow (+ beta 1.0) 3))))) (+ (* 1/4 (* (/ beta (+ beta 2)) (sqrt (/ 1 (pow (+ beta 1.0) 3))))) (+ (* 1/2 (* (/ beta (pow (+ beta 2) 2)) (sqrt (/ 1 (+ beta 1.0))))) (* 1/8 (* (/ 1 (+ beta 2)) (sqrt (/ 1 (pow (+ beta 1.0) 3)))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (pow (+ beta 2) 3)) (sqrt (+ beta 1.0))) in beta
* [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 (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]taylor:  Taking taylor expansion of (+ (* 1/2 (* (/ 1 (pow (+ beta 2) 2)) (sqrt (/ 1 (+ beta 1.0))))) (+ (* 1/8 (* (/ (pow beta 2) (+ beta 2)) (sqrt (/ 1 (pow (+ beta 1.0) 3))))) (+ (* 1/4 (* (/ beta (+ beta 2)) (sqrt (/ 1 (pow (+ beta 1.0) 3))))) (+ (* 1/2 (* (/ beta (pow (+ beta 2) 2)) (sqrt (/ 1 (+ beta 1.0))))) (* 1/8 (* (/ 1 (+ beta 2)) (sqrt (/ 1 (pow (+ beta 1.0) 3))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ 1 (pow (+ beta 2) 2)) (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 (* (/ 1 (pow (+ beta 2) 2)) (sqrt (/ 1 (+ beta 1.0)))) 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 (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]taylor:  Taking taylor expansion of (+ (* 1/8 (* (/ (pow beta 2) (+ beta 2)) (sqrt (/ 1 (pow (+ beta 1.0) 3))))) (+ (* 1/4 (* (/ beta (+ beta 2)) (sqrt (/ 1 (pow (+ beta 1.0) 3))))) (+ (* 1/2 (* (/ beta (pow (+ beta 2) 2)) (sqrt (/ 1 (+ beta 1.0))))) (* 1/8 (* (/ 1 (+ beta 2)) (sqrt (/ 1 (pow (+ beta 1.0) 3)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1/8 (* (/ (pow beta 2) (+ beta 2)) (sqrt (/ 1 (pow (+ beta 1.0) 3))))) in beta
* [misc]taylor:  Taking taylor expansion of 1/8 in beta
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (* (/ (pow beta 2) (+ beta 2)) (sqrt (/ 1 (pow (+ beta 1.0) 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (+ 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]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 (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (+ beta 1.0) 3))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ beta 1.0) 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 1.0) 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]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [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 (/ 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 1.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ (* 1.0 2.0) (* 1 1.0)) into 3.0
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ 3.0 1.0)))) into (- 3.0)
* [misc]backup-simplify:  Simplify (/ (- 3.0) (* 2 (sqrt 1.0))) into (/ -1.5 (sqrt 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (* (/ beta (+ beta 2)) (sqrt (/ 1 (pow (+ beta 1.0) 3))))) (+ (* 1/2 (* (/ beta (pow (+ beta 2) 2)) (sqrt (/ 1 (+ beta 1.0))))) (* 1/8 (* (/ 1 (+ beta 2)) (sqrt (/ 1 (pow (+ beta 1.0) 3))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (/ beta (+ beta 2)) (sqrt (/ 1 (pow (+ beta 1.0) 3))))) in beta
* [misc]taylor:  Taking taylor expansion of 1/4 in beta
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (/ beta (+ beta 2)) (sqrt (/ 1 (pow (+ beta 1.0) 3)))) 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 (sqrt (/ 1 (pow (+ beta 1.0) 3))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ beta 1.0) 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 1.0) 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]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [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 (/ 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 1.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ (* 1.0 2.0) (* 1 1.0)) into 3.0
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ 3.0 1.0)))) into (- 3.0)
* [misc]backup-simplify:  Simplify (/ (- 3.0) (* 2 (sqrt 1.0))) into (/ -1.5 (sqrt 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (/ beta (pow (+ beta 2) 2)) (sqrt (/ 1 (+ beta 1.0))))) (* 1/8 (* (/ 1 (+ beta 2)) (sqrt (/ 1 (pow (+ beta 1.0) 3)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ beta (pow (+ beta 2) 2)) (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 (pow (+ beta 2) 2)) (sqrt (/ 1 (+ beta 1.0)))) in beta
* [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 (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]taylor:  Taking taylor expansion of (* 1/8 (* (/ 1 (+ beta 2)) (sqrt (/ 1 (pow (+ beta 1.0) 3))))) in beta
* [misc]taylor:  Taking taylor expansion of 1/8 in beta
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (+ beta 2)) (sqrt (/ 1 (pow (+ beta 1.0) 3)))) in beta
* [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 (sqrt (/ 1 (pow (+ beta 1.0) 3))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ beta 1.0) 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta 1.0) 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]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [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 (/ 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 1.0)) into 2.0
* [misc]backup-simplify:  Simplify (+ (* 1.0 2.0) (* 1 1.0)) into 3.0
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ 3.0 1.0)))) into (- 3.0)
* [misc]backup-simplify:  Simplify (/ (- 3.0) (* 2 (sqrt 1.0))) into (/ -1.5 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (* 1/8 (sqrt 1.0)) into (* 1/8 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (* 1/4 (sqrt 1.0)) into (* 1/4 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (* 1/2 (* 1/4 (sqrt 1.0))) into (* 1/8 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt 1.0)) into (* 1/2 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (* 1/8 (* 1/2 (sqrt 1.0))) into (* 1/16 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/16 (sqrt 1.0))) into (* 1/16 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/16 (sqrt 1.0))) into (* 1/16 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/16 (sqrt 1.0))) into (* 1/16 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (+ (* 1/8 (sqrt 1.0)) (* 1/16 (sqrt 1.0))) into (* 3/16 (sqrt 1.0))
* [misc]backup-simplify:  Simplify (- (* 3/16 (sqrt 1.0))) into (- (* 3/16 (sqrt 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 1/8 (sqrt 1.0)) (- (* 3/16 (sqrt 1.0)))) into (- (* 1/16 (sqrt 1.0)))
* [misc]backup-simplify:  Simplify (- (* 1/16 (sqrt 1.0))) into (- (* 1/16 (sqrt 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/16 (sqrt 1.0))) (pow (* 1 alpha) 2)) (+ (* (- (* 1/4 (/ 1 (sqrt 1.0))) (* 1/4 (sqrt 1.0))) (* beta 1)) (* 1/2 (sqrt 1.0)))) into (- (+ (* 1/2 (sqrt 1.0)) (* 1/4 (/ beta (sqrt 1.0)))) (+ (* 1/16 (* (sqrt 1.0) (pow alpha 2))) (* 1/4 (* (sqrt 1.0) beta))))
* [misc]approximate:  Taking taylor expansion of (/ (/ (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0)) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0)) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0)) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ (/ 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))) 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]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 (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) (/ 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 (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 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 (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 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0)) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0)) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ (/ 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))) 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]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 (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) (/ 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 (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 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 (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 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0)) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0)) (sqrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ (/ 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))) 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]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 (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) (/ 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 (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 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 (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 (* +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 (+ 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 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) 1.0) (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 (/ 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) (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 (/ 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) (pow +nan.0 2) (+)) (* 2 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 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 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.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 (- (+ (* (/ 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 (/ (- 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 (/ 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 (+ (* 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 (/ 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 (+ (* 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 (/ 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 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 (+ (* +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 (- +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 (+ 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 (+ (* (- +nan.0) (pow (* 1 (/ 1 alpha)) 2)) (+ (* (- +nan.0) (* 1 (/ 1 alpha))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (/ (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0)) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) in (alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0)) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0)) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ (/ 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)))) 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]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 (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)) (/ 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 (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 (- 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 (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 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0)) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0)) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ (/ 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)))) 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]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 (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)) (/ 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 (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 (- 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 (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 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0)) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0)) (sqrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (+ (+ (+ (/ 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)))) 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]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 (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)) (/ 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 (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 (- 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 (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 (* +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) 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 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 (/ (- (- 1.0 (/ 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 (- 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)) (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 (- 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)) (pow +nan.0 2) (+)) (* 2 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 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 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.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) 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 (+ (* 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 (- 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 (+ (* 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 (- 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 (+ (* 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 (/ 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 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 (+ (* +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 (- +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 (+ 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 (+ (* (- +nan.0) (pow (* 1 (/ 1 (- alpha))) 2)) (+ (* (- +nan.0) (* 1 (/ 1 (- alpha)))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0)))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (pow (+ (+ beta 1.0) (+ alpha (* alpha beta))) 1/2) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 2 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (pow (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) 1) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 3 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (exp (log (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 4 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (log (exp (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 5 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (* (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 6 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (cbrt (* (* (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 7 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (sqrt (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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 (* (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 8 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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 (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))
* * [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 (67 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ beta (+ (+ 1.0 alpha) (* alpha beta)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (sqrt (sqrt (+ beta (+ (+ 1.0 alpha) (* alpha beta))))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 9 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (sqrt 1) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* 1 (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 10 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (sqrt 1) (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* 1 (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 11 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (sqrt (+ (* (+ (pow beta 3) (pow 1.0 3)) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))) (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (+ (pow alpha 3) (pow (* alpha beta) 3))))) (sqrt (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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 (+ (* (+ (pow beta 3) (pow 1.0 3)) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))) (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (+ (pow alpha 3) (pow (* alpha beta) 3)))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (239 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (+ (* (- (* beta alpha) alpha) (* beta alpha)) (* alpha alpha)) (+ (pow beta 3) (pow 1.0 3))) (* (+ (* beta beta) (* 1.0 (- 1.0 beta))) (+ (pow (* beta alpha) 3) (pow alpha 3)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ (* (+ (* (- (* beta alpha) alpha) (* beta alpha)) (* alpha alpha)) (+ (pow beta 3) (pow 1.0 3))) (* (+ (* beta beta) (* 1.0 (- 1.0 beta))) (+ (pow (* beta alpha) 3) (pow alpha 3))))) (sqrt (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 12 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (sqrt (+ (* (+ (pow beta 3) (pow 1.0 3)) (- alpha (* alpha beta))) (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (- (* alpha alpha) (* (* alpha beta) (* alpha beta)))))) (sqrt (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (- alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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 (+ (* (+ (pow beta 3) (pow 1.0 3)) (- alpha (* alpha beta))) (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (- (* alpha alpha) (* (* alpha beta) (* alpha beta))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (128 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (- alpha (* beta alpha)) (+ (pow beta 3) (pow 1.0 3))) (* (+ (* 1.0 (- 1.0 beta)) (* beta beta)) (* (- alpha (* beta alpha)) (+ (* beta alpha) alpha)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ (* (- alpha (* beta alpha)) (+ (pow beta 3) (pow 1.0 3))) (* (+ (* 1.0 (- 1.0 beta)) (* beta beta)) (* (- alpha (* beta alpha)) (+ (* beta alpha) alpha))))) (sqrt (* (+ (* beta beta) (- (* 1.0 1.0) (* beta 1.0))) (- alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 13 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (sqrt (+ (* (- (* beta beta) (* 1.0 1.0)) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))) (* (- beta 1.0) (+ (pow alpha 3) (pow (* alpha beta) 3))))) (sqrt (* (- beta 1.0) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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 (+ (* (- (* beta beta) (* 1.0 1.0)) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))) (* (- beta 1.0) (+ (pow alpha 3) (pow (* alpha beta) 3)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (224 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (- beta 1.0) (pow alpha 3)) (+ (+ (* (* (* alpha beta) (* alpha beta)) (* (* alpha beta) (- beta 1.0))) (* (* (- beta 1.0) (* alpha alpha)) (+ beta 1.0))) (* (* (* (* alpha beta) (- beta 1.0)) (- (* alpha beta) alpha)) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ (* (- beta 1.0) (pow alpha 3)) (+ (+ (* (* (* alpha beta) (* alpha beta)) (* (* alpha beta) (- beta 1.0))) (* (* (- beta 1.0) (* alpha alpha)) (+ beta 1.0))) (* (* (* (* alpha beta) (- beta 1.0)) (- (* alpha beta) alpha)) (+ beta 1.0))))) (sqrt (* (- beta 1.0) (+ (* alpha alpha) (- (* (* alpha beta) (* alpha beta)) (* alpha (* alpha beta))))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 14 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (sqrt (+ (* (- (* beta beta) (* 1.0 1.0)) (- alpha (* alpha beta))) (* (- beta 1.0) (- (* alpha alpha) (* (* alpha beta) (* alpha beta)))))) (sqrt (* (- beta 1.0) (- alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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 (+ (* (- (* beta beta) (* 1.0 1.0)) (- alpha (* alpha beta))) (* (- beta 1.0) (- (* alpha alpha) (* (* alpha beta) (* alpha beta))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* [exit]simplify:  Simplified to (sqrt (* (- alpha (* alpha beta)) (+ (* (- beta 1.0) (+ alpha (* alpha beta))) (* (- beta 1.0) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (sqrt (* (- alpha (* alpha beta)) (+ (* (- beta 1.0) (+ alpha (* alpha beta))) (* (- beta 1.0) (+ beta 1.0))))) (sqrt (* (- beta 1.0) (- alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 15 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (sqrt (+ (pow (+ beta 1.0) 3) (pow (+ alpha (* alpha beta)) 3))) (sqrt (+ (* (+ beta 1.0) (+ beta 1.0)) (- (* (+ alpha (* alpha beta)) (+ alpha (* alpha beta))) (* (+ beta 1.0) (+ alpha (* alpha beta))))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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 (+ (pow (+ beta 1.0) 3) (pow (+ alpha (* alpha beta)) 3)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (pow (+ alpha (* alpha beta)) 3) (pow (+ 1.0 beta) 3)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ (pow (+ alpha (* alpha beta)) 3) (pow (+ 1.0 beta) 3))) (sqrt (+ (* (+ beta 1.0) (+ beta 1.0)) (- (* (+ alpha (* alpha beta)) (+ alpha (* alpha beta))) (* (+ beta 1.0) (+ alpha (* alpha beta))))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 16 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (/ (sqrt (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha (* alpha beta)) (+ alpha (* alpha beta))))) (sqrt (- (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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 (- (* (+ beta 1.0) (+ beta 1.0)) (* (+ alpha (* alpha beta)) (+ alpha (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (425 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* (+ 1.0 beta) (+ 1.0 beta)) (* (+ (* alpha beta) alpha) (+ (* alpha beta) alpha))))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (sqrt (- (* (+ 1.0 beta) (+ 1.0 beta)) (* (+ (* alpha beta) alpha) (+ (* alpha beta) alpha)))) (sqrt (- (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 17 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 18 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (fabs (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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 (+ (+ beta 1.0) (+ alpha (* alpha beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ alpha (+ 1.0 beta)) (* alpha beta)))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (fabs (sqrt (+ (+ alpha (+ 1.0 beta)) (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 19 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (* 1 (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 20 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (pow (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1/2) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* * * * [misc]progress:  [ 21 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (pow (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* * * * [misc]progress:  [ 22 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (exp (log (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* * * * [misc]progress:  [ 23 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (log (exp (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* * * * [misc]progress:  [ 24 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (* (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* * * * [misc]progress:  [ 25 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (* (* (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* * * * [misc]progress:  [ 26 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (* (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 2 1 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (* (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 27 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (* (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (+ (+ 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 (40 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 2 1 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (* (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 28 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (* (sqrt 1) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 2 1 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (* 1 (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 29 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (pow (+ (+ alpha beta) (* beta alpha)) 3) (pow 1.0 3))) (sqrt (+ (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* beta alpha)) 1.0))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (+ (+ alpha beta) (* beta alpha)) 3) (pow 1.0 3)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (363 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (pow 1.0 3) (pow (+ (* alpha beta) (+ beta alpha)) 3)))
* [misc]simplify:  Simplified (2 2 2 1 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (pow 1.0 3) (pow (+ (* alpha beta) (+ beta alpha)) 3))) (sqrt (+ (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* beta alpha)) 1.0))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 30 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (- (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (* 1.0 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)) (+ (+ alpha beta) (* beta alpha))) (* 1.0 1.0)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (470 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* (+ (* alpha beta) (+ beta alpha)) (+ (* alpha beta) (+ beta alpha))) (* 1.0 1.0)))
* [misc]simplify:  Simplified (2 2 2 1 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (- (* (+ (* alpha beta) (+ beta alpha)) (+ (* alpha beta) (+ beta alpha))) (* 1.0 1.0))) (sqrt (- (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 31 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (* (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* * * * [misc]progress:  [ 32 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (fabs (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))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))
* [misc]simplify:  Simplified (2 2 2 1 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (fabs (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 33 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (* 1 (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* * * * [misc]progress:  [ 34 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (pow (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* * * * [misc]progress:  [ 35 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (exp (- (log (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (log (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (- (log (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (log (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (88 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (log (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (exp (- (log (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (log (sqrt (+ (+ alpha 2) beta))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 36 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (exp (log (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* * * * [misc]progress:  [ 37 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (log (exp (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* * * * [misc]progress:  [ 38 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (cbrt (/ (* (* (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (* (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (* (* (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (* (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* * [misc]simplify:  iters left: 3 (267 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (+ beta (+ alpha 2))) (/ (sqrt (+ beta (+ alpha 2))) (sqrt (+ beta (+ (+ 1.0 alpha) (* alpha beta))))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (cbrt (/ (/ (+ beta (+ (+ 1.0 alpha) (* alpha beta))) (+ beta (+ alpha 2))) (/ (sqrt (+ beta (+ alpha 2))) (sqrt (+ beta (+ (+ 1.0 alpha) (* alpha beta))))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 39 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (* (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* * * * [misc]progress:  [ 40 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (cbrt (* (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* * * * [misc]progress:  [ 41 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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 (/ (+ (+ (+ 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 (51 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ 2 beta) alpha))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (sqrt (/ (+ (* alpha beta) (+ beta (+ 1.0 alpha))) (+ (+ 2 beta) alpha))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 42 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* * * * [misc]progress:  [ 43 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 44 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (* (/ (cbrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (* (/ (cbrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 45 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (* (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (* (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))))) (/ (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (cbrt (+ (+ 2 beta) alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 46 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))))) (/ (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 47 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (* (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (* (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 48 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))))) (/ (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 49 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 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 (97 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (154 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (cbrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (* (cbrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (cbrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (* (cbrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (cbrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 50 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 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 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (sqrt (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 51 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 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 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (fabs (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (sqrt (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (cbrt (+ (+ 2 beta) alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 52 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (87 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 53 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 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 (77 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 54 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (87 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 55 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (fabs (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (fabs (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 56 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [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 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 57 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 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 (87 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (fabs (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (cbrt (+ (+ 2 beta) alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 58 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 59 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 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 (77 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 60 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 61 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 62 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (/ 1 (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (/ 1 (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 63 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (12 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 (fabs (cbrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ 1 (fabs (cbrt (+ beta (+ 2 alpha))))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ 1 (fabs (cbrt (+ beta (+ 2 alpha))))) (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 64 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha))))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha))))) (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 65 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [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 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* 1 (/ (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))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* 1 (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 66 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha))))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha))))) (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 67 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt 1) 1) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [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 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* 1 (/ (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))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* 1 (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 68 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [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 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 69 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 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 (87 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (fabs (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (cbrt (+ (+ 2 beta) alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 70 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 71 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 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 (77 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 72 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 73 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ alpha (+ 2 beta))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ alpha (+ 2 beta))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 74 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ 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 (sqrt (+ (+ alpha beta) 2)))) (cbrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (/ 1 (cbrt (sqrt (+ (+ alpha beta) 2)))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (/ 1 (cbrt (sqrt (+ (+ alpha beta) 2)))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 75 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (11 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 (fabs (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (cbrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 76 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (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 (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 77 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ 1 (sqrt 1)) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [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 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* 1 (/ (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))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* 1 (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 78 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (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 (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 79 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ 1 1) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ 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 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* 1 (/ (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))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (81 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* 1 (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 80 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* 1 (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* * * * [misc]progress:  [ 81 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (/ 1 (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* * * * [misc]progress:  [ 82 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (/ (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* * * * [misc]progress:  [ 83 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (cbrt (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 (cbrt (sqrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (cbrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 84 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (sqrt (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 (sqrt (cbrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 85 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (sqrt (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 (sqrt (sqrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 86 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [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 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 1)) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 87 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (sqrt (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 (sqrt (sqrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ alpha (+ beta 2))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 88 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [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 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 89 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (* (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 90 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 91 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (+ (+ 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 (40 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 92 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt 1) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (/ (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 93 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (+ (+ (+ 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 (40 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 94 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (/ (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* * * * [misc]progress:  [ 95 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (254 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (+ beta alpha) (+ -2 (+ beta alpha))) 4))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (sqrt (+ (* (+ beta alpha) (+ -2 (+ beta alpha))) 4))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 96 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt (- (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (sqrt (- (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ -2 alpha) beta))
* [misc]simplify:  Simplified (2 2 2 1 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt (+ (+ -2 alpha) beta))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 97 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (pow (+ (+ alpha beta) (* beta alpha)) 3) (pow 1.0 3))) (* (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* beta alpha)) 1.0)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (sqrt (+ (pow (+ (+ alpha beta) (* beta alpha)) 3) (pow 1.0 3)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (363 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (pow 1.0 3) (pow (+ (* alpha beta) (+ beta alpha)) 3)))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (pow 1.0 3) (pow (+ (* alpha beta) (+ beta alpha)) 3))) (* (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* beta alpha)) 1.0)))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 98 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (- (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (* 1.0 1.0))) (* (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (- (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (sqrt (- (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (* 1.0 1.0)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (470 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* (+ (* alpha beta) (+ beta alpha)) (+ (* alpha beta) (+ beta alpha))) (* 1.0 1.0)))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (- (* (+ (* alpha beta) (+ beta alpha)) (+ (* alpha beta) (+ beta alpha))) (* 1.0 1.0))) (* (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (- (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 99 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (pow (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1))))>
* * * * [misc]progress:  [ 100 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (exp (- (- (log (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (log (sqrt (+ (+ alpha beta) (* 2 1))))) (log (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (- (- (log (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (log (sqrt (+ (+ alpha beta) (* 2 1))))) (log (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (146 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (+ (log (sqrt (+ beta (+ alpha 2)))) (log (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (exp (- (log (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (+ (log (sqrt (+ beta (+ alpha 2)))) (log (sqrt (+ beta (+ alpha 2))))))))))
* * * * [misc]progress:  [ 101 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (exp (- (log (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (log (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (- (log (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (log (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (157 enodes)
* * [misc]simplify:  iters left: 1 (195 enodes)
* [exit]simplify:  Simplified to (- (log (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (+ (log (sqrt (+ 2 (+ beta alpha)))) (log (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (exp (- (log (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (+ (log (sqrt (+ 2 (+ beta alpha)))) (log (sqrt (+ 2 (+ beta alpha))))))))))
* * * * [misc]progress:  [ 102 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (exp (log (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* * * * [misc]progress:  [ 103 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (log (exp (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* * * * [misc]progress:  [ 104 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (cbrt (/ (/ (* (* (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (* (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (* (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (* (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (* (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (163 enodes)
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (/ (sqrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (cbrt (* (/ (+ alpha (+ (+ beta 1.0) (* alpha beta))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (/ (sqrt (+ alpha (+ (+ beta 1.0) (* alpha beta)))) (+ alpha (+ beta 2))))))))
* * * * [misc]progress:  [ 105 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (cbrt (/ (* (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (* (sqrt (+ (+ alpha beta) (* 2 1))) (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) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (* (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (145 enodes)
* * [misc]simplify:  iters left: 3 (334 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta alpha) (+ (* alpha beta) 1.0))) (+ alpha (+ beta 2))) (/ (+ alpha (+ beta 2)) (/ (+ (+ beta alpha) (+ (* alpha beta) 1.0)) (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (cbrt (/ (/ (sqrt (+ (+ beta alpha) (+ (* alpha beta) 1.0))) (+ alpha (+ beta 2))) (/ (+ alpha (+ beta 2)) (/ (+ (+ beta alpha) (+ (* alpha beta) 1.0)) (+ alpha (+ beta 2)))))))))
* * * * [misc]progress:  [ 106 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (cbrt (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))) (cbrt (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* * * * [misc]progress:  [ 107 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (cbrt (* (* (/ (/ (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))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* * * * [misc]progress:  [ 108 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))))))>
* [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 (68 enodes)
* * [misc]simplify:  iters left: 3 (190 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (sqrt (/ (+ (+ 1.0 alpha) (+ beta (* alpha beta))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 109 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* * * * [misc]progress:  [ 110 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 111 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (144 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ alpha 2) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ alpha 2) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta))))))))
* * * * [misc]progress:  [ 112 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ 2 (+ beta alpha)))))) (fabs (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ 2 (+ beta alpha)))))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ 2 (+ beta alpha)))))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (cbrt (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))) (sqrt (cbrt (+ (+ beta 2) alpha))))))))
* * * * [misc]progress:  [ 113 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))))) (/ (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))))) (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))))))
* * * * [misc]progress:  [ 114 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (/ (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha)))) (cbrt (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (cbrt (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha)))) (cbrt (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))))) (/ (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (sqrt (+ (+ (+ 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 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (cbrt (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha)))) (cbrt (/ (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))))) (/ (cbrt (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 115 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))))) (/ (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (/ (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))) (sqrt (+ (+ beta 2) alpha))))) (/ (cbrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))))))
* * * * [misc]progress:  [ 116 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) 1) (/ (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (153 enodes)
* * [misc]simplify:  iters left: 1 (165 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (cbrt (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))))) (/ (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (sqrt (+ (+ (+ 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 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (cbrt (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha))))) (cbrt (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (sqrt (+ 2 (+ beta alpha)))))) (/ (cbrt (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 117 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 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 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ alpha 2) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ alpha 2) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta))))))))
* * * * [misc]progress:  [ 118 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt (+ 2 (+ beta alpha))))) (fabs (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt (+ 2 (+ beta alpha))))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))) (sqrt (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta))) (sqrt (+ 2 (+ beta alpha))))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))) (sqrt (cbrt (+ (+ beta 2) alpha))))))))
* * * * [misc]progress:  [ 119 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))))))
* * * * [misc]progress:  [ 120 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ (+ 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 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 121 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ (+ alpha 2) beta)))) (sqrt (sqrt (+ (+ alpha 2) beta))))))))
* * * * [misc]progress:  [ 122 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (sqrt (+ (+ (+ 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 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 2) alpha)))) (sqrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 123 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [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 (155 enodes)
* * [misc]simplify:  iters left: 2 (203 enodes)
* * [misc]simplify:  iters left: 1 (218 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (cbrt (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2)))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (cbrt (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2))))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (cbrt (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2))))))) (/ (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 124 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [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 (150 enodes)
* * [misc]simplify:  iters left: 2 (203 enodes)
* * [misc]simplify:  iters left: 1 (235 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ (+ beta 2) alpha))) (fabs (cbrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ (+ beta 2) alpha))) (fabs (cbrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (* (* (cbrt (sqrt (+ (+ beta 2) alpha))) (fabs (cbrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 125 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* * [misc]simplify:  iters left: 1 (232 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (sqrt (sqrt (+ alpha (+ beta 2))))) (/ (* (cbrt (sqrt (+ alpha (+ beta 2)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (cbrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (sqrt (sqrt (+ alpha (+ beta 2))))) (/ (* (cbrt (sqrt (+ alpha (+ beta 2)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (cbrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (sqrt (sqrt (+ alpha (+ beta 2))))) (/ (* (cbrt (sqrt (+ alpha (+ beta 2)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (cbrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))))) (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 126 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (352 enodes)
* * [misc]simplify:  iters left: 1 (438 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (cbrt (sqrt (+ alpha (+ beta 2))))) (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (cbrt (sqrt (+ alpha (+ beta 2))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (cbrt (sqrt (+ alpha (+ beta 2))))) (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (cbrt (sqrt (+ alpha (+ beta 2)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (cbrt (sqrt (+ alpha (+ beta 2))))) (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (cbrt (sqrt (+ alpha (+ beta 2)))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 127 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* * [misc]simplify:  iters left: 1 (232 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (sqrt (sqrt (+ alpha (+ beta 2))))) (/ (* (cbrt (sqrt (+ alpha (+ beta 2)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (cbrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (sqrt (sqrt (+ alpha (+ beta 2))))) (/ (* (cbrt (sqrt (+ alpha (+ beta 2)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (cbrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (sqrt (sqrt (+ alpha (+ beta 2))))) (/ (* (cbrt (sqrt (+ alpha (+ beta 2)))) (cbrt (sqrt (+ alpha (+ beta 2))))) (cbrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))))) (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 128 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) 1) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) 1)
* * [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 (153 enodes)
* * [misc]simplify:  iters left: 2 (358 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (cbrt (sqrt (+ (+ 1.0 alpha) (+ (* alpha beta) beta)))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 129 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (208 enodes)
* * [misc]simplify:  iters left: 1 (243 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (fabs (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (fabs (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (fabs (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 130 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [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 (110 enodes)
* * [misc]simplify:  iters left: 2 (143 enodes)
* * [misc]simplify:  iters left: 1 (160 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (cbrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (cbrt (+ beta (+ alpha 2)))) (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (cbrt (+ (+ 2 beta) alpha)))))))
* * * * [misc]progress:  [ 131 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (158 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ beta 2)))) (sqrt (sqrt (+ alpha (+ beta 2))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ beta 2)))) (sqrt (sqrt (+ alpha (+ beta 2)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ beta 2)))) (sqrt (sqrt (+ alpha (+ beta 2)))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 132 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (188 enodes)
* * [misc]simplify:  iters left: 1 (206 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (/ (fabs (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (/ (fabs (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (/ (fabs (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))))) (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 133 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (158 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ beta 2)))) (sqrt (sqrt (+ alpha (+ beta 2))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ beta 2)))) (sqrt (sqrt (+ alpha (+ beta 2)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (* (fabs (cbrt (+ alpha (+ beta 2)))) (sqrt (sqrt (+ alpha (+ beta 2)))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 134 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 1) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 1)
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (201 enodes)
* * [misc]simplify:  iters left: 1 (217 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (cbrt (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)))) (fabs (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (cbrt (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (cbrt (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 135 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 136 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (158 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ beta 2)))) (fabs (cbrt (+ alpha (+ beta 2))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ beta 2)))) (fabs (cbrt (+ alpha (+ beta 2)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ beta 2)))) (fabs (cbrt (+ alpha (+ beta 2)))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 137 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)))) (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))))))
* * * * [misc]progress:  [ 138 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (221 enodes)
* * [misc]simplify:  iters left: 1 (238 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (/ (cbrt (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (cbrt (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (/ (cbrt (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (cbrt (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (/ (cbrt (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 139 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)))) (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))))))
* * * * [misc]progress:  [ 140 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [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 (125 enodes)
* * [misc]simplify:  iters left: 2 (231 enodes)
* * [misc]simplify:  iters left: 1 (249 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (/ (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (/ (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (/ (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 141 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (363 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (sqrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (sqrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (sqrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (sqrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (sqrt (+ (+ 1.0 beta) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 142 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 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 (110 enodes)
* * [misc]simplify:  iters left: 2 (156 enodes)
* * [misc]simplify:  iters left: 1 (181 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (fabs (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (fabs (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (fabs (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))))) (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (cbrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 143 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* * [misc]simplify:  iters left: 1 (299 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 144 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (sqrt 1)) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))) (cbrt (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (cbrt (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))) (cbrt (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (cbrt (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))) (cbrt (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))))) (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 145 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (193 enodes)
* * [misc]simplify:  iters left: 1 (299 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 146 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) 1) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))) (cbrt (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (cbrt (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))) (cbrt (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (cbrt (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))) (cbrt (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))))) (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 147 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (233 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))) (* (* (sqrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2))))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 148 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (158 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ beta 2)))) (fabs (cbrt (+ alpha (+ beta 2))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ beta 2)))) (fabs (cbrt (+ alpha (+ beta 2)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (* (sqrt (sqrt (+ alpha (+ beta 2)))) (fabs (cbrt (+ alpha (+ beta 2)))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 149 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)))) (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))))))
* * * * [misc]progress:  [ 150 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (221 enodes)
* * [misc]simplify:  iters left: 1 (238 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (/ (cbrt (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (sqrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (cbrt (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (/ (cbrt (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (cbrt (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (/ (cbrt (sqrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (sqrt (sqrt (+ beta (+ alpha 2)))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 151 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)))) (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))))))
* * * * [misc]progress:  [ 152 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [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 (125 enodes)
* * [misc]simplify:  iters left: 2 (231 enodes)
* * [misc]simplify:  iters left: 1 (249 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (/ (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (/ (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (/ (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 153 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (182 enodes)
* * [misc]simplify:  iters left: 2 (424 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 154 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (137 enodes)
* * [misc]simplify:  iters left: 2 (209 enodes)
* * [misc]simplify:  iters left: 1 (231 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (/ (fabs (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (/ (fabs (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (/ (fabs (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))))) (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (cbrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 155 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (146 enodes)
* * [misc]simplify:  iters left: 2 (266 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 156 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (sqrt 1)) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (sqrt 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (121 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (cbrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))))) (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 157 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (146 enodes)
* * [misc]simplify:  iters left: 2 (266 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (* (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (cbrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 158 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) 1) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (141 enodes)
* * [misc]simplify:  iters left: 1 (154 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))))) (/ (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (sqrt (+ (+ (+ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (* (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (cbrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))))) (/ (cbrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 159 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (+ beta (+ alpha 2))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (sqrt (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 160 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (106 enodes)
* * [misc]simplify:  iters left: 2 (131 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta)))) (* (cbrt (sqrt (+ alpha (+ beta 2)))) (fabs (cbrt (+ alpha (+ beta 2)))))) (cbrt (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (fabs (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta)))) (* (cbrt (sqrt (+ alpha (+ beta 2)))) (fabs (cbrt (+ alpha (+ beta 2)))))) (cbrt (sqrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (fabs (cbrt (+ (+ 1.0 (+ beta alpha)) (* alpha beta)))) (* (cbrt (sqrt (+ alpha (+ beta 2)))) (fabs (cbrt (+ alpha (+ beta 2)))))) (cbrt (sqrt (+ alpha (+ beta 2))))) (/ (sqrt (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 161 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (141 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (fabs (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (fabs (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 162 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 163 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (141 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (fabs (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (fabs (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (* (cbrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 164 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) 1) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) 1)
* * [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 (101 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (139 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (* (cbrt (sqrt (+ beta (+ alpha 2)))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 165 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (141 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (* (fabs (cbrt (+ alpha (+ beta 2)))) (cbrt (sqrt (+ alpha (+ beta 2)))))) (cbrt (sqrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (fabs (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (* (fabs (cbrt (+ alpha (+ beta 2)))) (cbrt (sqrt (+ alpha (+ beta 2)))))) (cbrt (sqrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (fabs (cbrt (+ (+ alpha (+ beta 1.0)) (* alpha beta)))) (* (fabs (cbrt (+ alpha (+ beta 2)))) (cbrt (sqrt (+ alpha (+ beta 2)))))) (cbrt (sqrt (+ alpha (+ beta 2))))) (/ (sqrt (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 166 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 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 (92 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (cbrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (* (cbrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (cbrt (+ (+ 2 beta) alpha)))))))
* * * * [misc]progress:  [ 167 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (fabs (cbrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (fabs (cbrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (fabs (cbrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (sqrt (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 168 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (fabs (cbrt (+ alpha (+ beta 2)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (fabs (cbrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (fabs (cbrt (+ alpha (+ beta 2))))) (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 169 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (fabs (cbrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (fabs (cbrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (fabs (cbrt (+ (+ alpha 2) beta))) (sqrt (sqrt (+ (+ alpha 2) beta))))) (/ (sqrt (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 170 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 1) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 1)
* * [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 (99 enodes)
* * [misc]simplify:  iters left: 2 (118 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (fabs (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 171 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 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 (104 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (141 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (cbrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (fabs (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (fabs (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 172 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (fabs (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (fabs (cbrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (fabs (cbrt (+ (+ alpha 2) beta))))) (/ (sqrt (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 173 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))))))
* * * * [misc]progress:  [ 174 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 175 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))))))
* * * * [misc]progress:  [ 176 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 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 (96 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 177 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* * [misc]simplify:  iters left: 2 (136 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 178 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (fabs (cbrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (fabs (cbrt (+ alpha (+ 2 beta))))) (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (cbrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 179 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (sqrt (sqrt (+ (+ 2 alpha) beta))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (sqrt (sqrt (+ (+ 2 alpha) beta)))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (sqrt (sqrt (+ (+ 2 alpha) beta)))) (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 180 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (sqrt 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 (81 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (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 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (/ (sqrt (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 181 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (sqrt (sqrt (+ (+ 2 alpha) beta))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (sqrt (sqrt (+ (+ 2 alpha) beta)))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (sqrt (sqrt (+ (+ 2 alpha) beta)))) (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 182 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) 1) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) 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 (81 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (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 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (/ (sqrt (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 183 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 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 (104 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (141 enodes)
* [exit]simplify:  Simplified to (/ (/ (fabs (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (cbrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (fabs (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (fabs (cbrt (+ (* alpha beta) (+ (+ beta 1.0) alpha)))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (cbrt (sqrt (+ (+ alpha 2) beta))))) (cbrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 184 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (117 enodes)
* * [misc]simplify:  iters left: 1 (131 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (fabs (cbrt (+ (+ alpha 2) beta)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (fabs (cbrt (+ (+ alpha 2) beta))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ alpha 2) beta))) (fabs (cbrt (+ (+ alpha 2) beta))))) (/ (sqrt (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 185 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))))))
* * * * [misc]progress:  [ 186 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (sqrt (sqrt (+ beta (+ alpha 2))))) (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 187 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (+ (+ beta 2) alpha))) (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))))))
* * * * [misc]progress:  [ 188 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 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 (96 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 189 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 190 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (fabs (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (cbrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 191 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 192 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (sqrt 1)) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (sqrt 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 (81 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (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 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (/ (sqrt (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 193 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 194 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) 1) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) 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 (77 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (/ (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (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 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (/ (sqrt (cbrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 195 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 196 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (145 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta)))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta)))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta)))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 197 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 198 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 199 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 200 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) 1) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 201 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (131 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta)))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta)))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta)))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 202 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 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 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (cbrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (cbrt (+ (+ 2 beta) alpha)))))))
* * * * [misc]progress:  [ 203 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 204 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (fabs (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 205 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 206 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 1) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 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 (98 enodes)
* * [misc]simplify:  iters left: 2 (118 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 207 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 208 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 209 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))))))
* * * * [misc]progress:  [ 210 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 211 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))))))
* * * * [misc]progress:  [ 212 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 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 (95 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 213 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 214 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (fabs (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (cbrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 215 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 216 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt 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 (79 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 217 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 218 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) 1) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) 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 (79 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 219 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 220 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 221 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))))))
* * * * [misc]progress:  [ 222 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 223 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))))))
* * * * [misc]progress:  [ 224 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 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 (95 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 225 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [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 (108 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (139 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 226 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (cbrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 227 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 228 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt 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 (79 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 229 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 230 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 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 (75 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 231 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha))))))))
* * * * [misc]progress:  [ 232 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (fabs (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (fabs (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ 2 (+ beta alpha))))) (* (fabs (cbrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 233 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ beta (+ 2 alpha))))) (* (cbrt (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ beta (+ 2 alpha))))) (* (cbrt (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ beta (+ 2 alpha))))) (* (cbrt (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha)))))) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))))))
* * * * [misc]progress:  [ 234 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (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 (37 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))))))
* * * * [misc]progress:  [ 235 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ beta (+ 2 alpha))))) (* (cbrt (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ beta (+ 2 alpha))))) (* (cbrt (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ beta (+ 2 alpha))))) (* (cbrt (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha)))))) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))))))
* * * * [misc]progress:  [ 236 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) 1) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))))))
* * * * [misc]progress:  [ 237 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (52 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (fabs (cbrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (fabs (cbrt (+ 2 (+ beta alpha))))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 238 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 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 (32 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (35 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ beta (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (* (cbrt (+ beta (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (88 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (* (cbrt (+ beta (+ 2 alpha))) (cbrt (+ beta (+ 2 alpha))))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 239 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (* (fabs (cbrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (* (fabs (cbrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha)))))) (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 240 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (fabs (cbrt (+ beta (+ 2 alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (fabs (cbrt (+ beta (+ 2 alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 241 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (fabs (cbrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (* (fabs (cbrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (* (fabs (cbrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha)))))) (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 242 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 1) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (fabs (cbrt (+ beta (+ 2 alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (fabs (cbrt (+ beta (+ 2 alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 243 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ beta (+ 2 alpha))))) (* (cbrt (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ beta (+ 2 alpha))))) (* (cbrt (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ beta (+ 2 alpha))))) (* (cbrt (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha)))))) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))))))
* * * * [misc]progress:  [ 244 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha))))) (fabs (cbrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha))))) (fabs (cbrt (+ beta (+ 2 alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha))))) (fabs (cbrt (+ beta (+ 2 alpha))))) (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 245 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (31 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (+ 2 (+ beta alpha)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (88 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (+ 2 (+ beta alpha)))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 246 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))))))
* * * * [misc]progress:  [ 247 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (31 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (+ 2 (+ beta alpha)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (88 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (+ 2 (+ beta alpha)))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 248 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))))))
* * * * [misc]progress:  [ 249 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt 1)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 250 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 251 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (12 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 (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 252 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [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 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* 1 (/ (/ (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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* 1 (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 253 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (12 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 (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 254 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt 1)) 1) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [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 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* 1 (/ (/ (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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* 1 (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 255 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ beta (+ 2 alpha))))) (* (cbrt (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ beta (+ 2 alpha))))) (* (cbrt (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ beta (+ 2 alpha))))) (* (cbrt (sqrt (+ beta (+ 2 alpha)))) (sqrt (sqrt (+ beta (+ 2 alpha)))))) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))))))
* * * * [misc]progress:  [ 256 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha))))) (fabs (cbrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha))))) (fabs (cbrt (+ beta (+ 2 alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha))))) (fabs (cbrt (+ beta (+ 2 alpha))))) (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 257 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (31 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (+ 2 (+ beta alpha)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (88 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (+ 2 (+ beta alpha)))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 258 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))))))
* * * * [misc]progress:  [ 259 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (31 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (+ 2 (+ beta alpha)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (88 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (+ 2 (+ beta alpha)))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 260 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))))))
* * * * [misc]progress:  [ 261 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 262 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 263 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 264 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) 1) (sqrt 1)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [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 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* 1 (/ (/ (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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* 1 (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 265 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt 1) 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 266 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt 1) 1) 1) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [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 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* 1 (/ (/ (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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* 1 (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 267 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 268 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (133 enodes)
* * [misc]simplify:  iters left: 1 (145 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta)))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta)))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta)))) (* (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))) (fabs (cbrt (+ alpha (+ 2 beta)))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 269 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 270 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 271 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 272 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) 1) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (137 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 273 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (131 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta)))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta)))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta)))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (+ 1.0 alpha) beta) (* alpha beta)))) (* (fabs (cbrt (+ alpha (+ 2 beta)))) (* (cbrt (sqrt (+ alpha (+ 2 beta)))) (cbrt (sqrt (+ alpha (+ 2 beta))))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 274 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 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 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (cbrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (+ (+ 2 beta) alpha)) (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (cbrt (+ (+ 2 beta) alpha)))))))
* * * * [misc]progress:  [ 275 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 276 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (116 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (fabs (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 277 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 278 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 1) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 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 (98 enodes)
* * [misc]simplify:  iters left: 2 (118 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (cbrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 279 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 280 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 281 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))))))
* * * * [misc]progress:  [ 282 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 283 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))))))
* * * * [misc]progress:  [ 284 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 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 (95 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 285 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 286 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (fabs (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha))) (fabs (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (cbrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 287 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 288 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt 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 (79 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 289 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 290 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) 1) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) 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 (79 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 291 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (103 enodes)
* * [misc]simplify:  iters left: 2 (123 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 292 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (cbrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 293 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))))))
* * * * [misc]progress:  [ 294 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 295 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (89 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (sqrt (+ (+ 2 beta) alpha)))))))
* * * * [misc]progress:  [ 296 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 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 (95 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta))))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (sqrt (+ (+ 2 beta) alpha))) (sqrt (+ (+ 2 beta) alpha))))))))
* * * * [misc]progress:  [ 297 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [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 (108 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (139 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (cbrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 298 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [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 (94 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (cbrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 299 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 300 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt 1)) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt 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 (79 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 301 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (sqrt (+ (+ 2 beta) alpha)))))))))
* * * * [misc]progress:  [ 302 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 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 (75 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (sqrt (+ (+ (+ 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 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 303 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha))))))))
* * * * [misc]progress:  [ 304 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (* (fabs (cbrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (* (fabs (cbrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (* (fabs (cbrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 305 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))))))
* * * * [misc]progress:  [ 306 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))))))
* * * * [misc]progress:  [ 307 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ (+ beta 2) alpha)))) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (sqrt (sqrt (+ 2 (+ beta alpha)))))))))
* * * * [misc]progress:  [ 308 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) 1) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 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 (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))))))
* * * * [misc]progress:  [ 309 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 310 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (88 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (* (cbrt (+ (+ beta 2) alpha)) (cbrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 311 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (fabs (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 312 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 313 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (fabs (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (cbrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 314 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 1) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) 1)
* * [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 (35 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (fabs (cbrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 315 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))))))
* * * * [misc]progress:  [ 316 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 317 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ 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 (27 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (88 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 318 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))))))
* * * * [misc]progress:  [ 319 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ 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 (27 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (88 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 320 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (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 (26 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))))))
* * * * [misc]progress:  [ 321 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2))))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 322 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 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 (34 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 323 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 324 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [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 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* 1 (/ (/ (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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* 1 (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 325 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 326 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt 1)) 1) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [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 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* 1 (/ (/ (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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* 1 (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 327 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))))))
* * * * [misc]progress:  [ 328 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))) (* (sqrt (sqrt (+ (+ beta 2) alpha))) (sqrt (cbrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 329 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ 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 (27 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (88 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 330 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))))))
* * * * [misc]progress:  [ 331 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ 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 (27 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ (+ alpha beta) 2)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [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 (88 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (+ (+ alpha beta) 2))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 332 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) 1) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (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 (26 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ 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 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (sqrt (+ (+ beta 2) alpha))) (sqrt (sqrt (+ (+ beta 2) alpha))))))))
* * * * [misc]progress:  [ 333 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 334 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (12 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 (fabs (cbrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (fabs (cbrt (+ beta (+ 2 alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (fabs (cbrt (+ beta (+ 2 alpha))))) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 335 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha))))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 336 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 1) (sqrt 1)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [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 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* 1 (/ (/ (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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* 1 (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 337 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha))))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 338 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 1) 1) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ 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 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* 1 (/ (/ (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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* 1 (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 339 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ 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 (sqrt (+ (+ alpha beta) 2)))) (cbrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ (+ alpha beta) 2)))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ 1 (cbrt (sqrt (+ (+ alpha beta) 2)))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (sqrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 340 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (11 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 (fabs (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 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 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (sqrt (cbrt (+ 2 (+ beta alpha))))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 341 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (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 (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 342 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt 1)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [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 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* 1 (/ (/ (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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* 1 (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 343 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (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 (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (125 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (* (sqrt (+ (+ beta 2) alpha)) (sqrt (sqrt (+ (+ beta 2) alpha)))))))))
* * * * [misc]progress:  [ 344 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ 1 1) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ 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 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* 1 (/ (/ (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 (56 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* 1 (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))))))
* * * * [misc]progress:  [ 345 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [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 (87 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 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 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (+ beta 1.0) (* alpha beta)) alpha)) (cbrt (sqrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta 2) alpha)))) (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (cbrt (sqrt (+ (+ alpha beta) 2))))))))
* * * * [misc]progress:  [ 346 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (fabs (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (sqrt (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (sqrt (cbrt (+ (+ alpha beta) 2))))))))
* * * * [misc]progress:  [ 347 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (+ alpha beta) 2))))))))
* * * * [misc]progress:  [ 348 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 1)) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt 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 (96 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (/ (/ 1 (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 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (/ 1 (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 349 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (29 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (sqrt (+ 2 (+ beta alpha))))) (/ (/ 1 (sqrt (+ (+ alpha beta) 2))) (sqrt (sqrt (+ (+ alpha beta) 2))))))))
* * * * [misc]progress:  [ 350 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [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 (44 enodes)
* * [misc]simplify:  iters left: 3 (75 enodes)
* * [misc]simplify:  iters left: 2 (94 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (/ (/ 1 (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 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (sqrt (+ (+ (+ beta 1.0) alpha) (* alpha beta))) (/ 1 (+ (+ beta 2) alpha))))))
* * * * [misc]progress:  [ 351 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (200 enodes)
* * [misc]simplify:  iters left: 2 (422 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ 8 (pow (+ beta alpha) 3)))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ 8 (pow (+ beta alpha) 3)))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (276 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ 4 (* (+ beta alpha) (+ -2 (+ beta alpha))))) (cbrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha))) (sqrt (+ 8 (pow (+ beta alpha) 3)))) (* (cbrt (sqrt (+ 2 (+ beta alpha)))) (cbrt (sqrt (+ 2 (+ beta alpha)))))) (/ (sqrt (+ 4 (* (+ beta alpha) (+ -2 (+ beta alpha))))) (cbrt (sqrt (+ beta (+ alpha 2)))))))))
* * * * [misc]progress:  [ 352 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (189 enodes)
* * [misc]simplify:  iters left: 2 (410 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (fabs (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (pow (+ beta alpha) 3) 8)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (fabs (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (pow (+ beta alpha) 3) 8))) (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (276 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ 4 (* (+ beta alpha) (+ -2 (+ beta alpha))))) (sqrt (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (fabs (cbrt (+ alpha (+ beta 2))))) (sqrt (+ (pow (+ beta alpha) 3) 8))) (/ (sqrt (+ 4 (* (+ beta alpha) (+ -2 (+ beta alpha))))) (sqrt (cbrt (+ beta (+ alpha 2)))))))))
* * * * [misc]progress:  [ 353 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (188 enodes)
* * [misc]simplify:  iters left: 2 (413 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ 8 (pow (+ beta alpha) 3))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ 8 (pow (+ beta alpha) 3)))) (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (276 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ 4 (* (+ beta alpha) (+ -2 (+ beta alpha))))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ 8 (pow (+ beta alpha) 3)))) (/ (sqrt (+ 4 (* (+ beta alpha) (+ -2 (+ beta alpha))))) (sqrt (sqrt (+ beta (+ alpha 2)))))))))
* * * * [misc]progress:  [ 354 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (sqrt 1)) (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (401 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (+ (pow (+ beta alpha) 3) 8)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (+ (pow (+ beta alpha) 3) 8))) (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (270 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ 4 (* (+ beta alpha) (- (+ beta alpha) 2)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (+ (* alpha beta) (+ 1.0 alpha)) beta)) (sqrt (+ (pow (+ beta alpha) 3) 8))) (/ (sqrt (+ 4 (* (+ beta alpha) (- (+ beta alpha) 2)))) (sqrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 355 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (188 enodes)
* * [misc]simplify:  iters left: 2 (413 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ 8 (pow (+ beta alpha) 3))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ 8 (pow (+ beta alpha) 3)))) (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (276 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ 4 (* (+ beta alpha) (+ -2 (+ beta alpha))))) (sqrt (sqrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (sqrt (+ 8 (pow (+ beta alpha) 3)))) (/ (sqrt (+ 4 (* (+ beta alpha) (+ -2 (+ beta alpha))))) (sqrt (sqrt (+ beta (+ alpha 2)))))))))
* * * * [misc]progress:  [ 356 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) 1) (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) 1)
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* * [misc]simplify:  iters left: 2 (402 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (sqrt (+ 8 (pow (+ beta alpha) 3))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (sqrt (+ 8 (pow (+ beta alpha) 3)))) (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (270 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ 4 (* (+ beta alpha) (- (+ beta alpha) 2)))) (sqrt (+ (+ beta 2) alpha)))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (+ (+ 1.0 alpha) (* alpha beta)) beta)) (sqrt (+ 8 (pow (+ beta alpha) 3)))) (/ (sqrt (+ 4 (* (+ beta alpha) (- (+ beta alpha) 2)))) (sqrt (+ (+ beta 2) alpha)))))))
* * * * [misc]progress:  [ 357 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (- (+ alpha beta) (* 2 1))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (110 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* * [misc]simplify:  iters left: 2 (475 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (- (* (+ beta alpha) (+ beta alpha)) 4))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (- (* (+ beta alpha) (+ beta alpha)) 4))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (sqrt (- (+ alpha beta) (* 2 1))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (+ alpha beta) (* 2 1))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- beta (- 2 alpha))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (sqrt (- (* (+ beta alpha) (+ beta alpha)) 4))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (sqrt (- beta (- 2 alpha))) (cbrt (sqrt (+ 2 (+ beta alpha)))))))))
* * * * [misc]progress:  [ 358 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (209 enodes)
* * [misc]simplify:  iters left: 2 (472 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (* (+ beta alpha) (+ beta alpha)) -4)) (fabs (cbrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (* (+ beta alpha) (+ beta alpha)) -4)) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- beta (- 2 alpha))) (sqrt (cbrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (+ 1.0 alpha) (+ beta (* alpha beta)))) (* (sqrt (+ (* (+ beta alpha) (+ beta alpha)) -4)) (fabs (cbrt (+ (+ 2 beta) alpha))))) (/ (sqrt (- beta (- 2 alpha))) (sqrt (cbrt (+ 2 (+ beta alpha)))))))))
* * * * [misc]progress:  [ 359 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (202 enodes)
* * [misc]simplify:  iters left: 2 (466 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (sqrt (- (* (+ beta alpha) (+ beta alpha)) 4))) (sqrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (sqrt (- (* (+ beta alpha) (+ beta alpha)) 4))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- beta (- 2 alpha))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (sqrt (- (* (+ beta alpha) (+ beta alpha)) 4))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (- beta (- 2 alpha))) (sqrt (sqrt (+ 2 (+ beta alpha)))))))))
* * * * [misc]progress:  [ 360 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt 1)) (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (224 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (+ -4 (* (+ beta alpha) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (+ -4 (* (+ beta alpha) (+ beta alpha))))) (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ beta (+ alpha -2))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (+ -4 (* (+ beta alpha) (+ beta alpha))))) (/ (sqrt (+ beta (+ alpha -2))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 361 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (202 enodes)
* * [misc]simplify:  iters left: 2 (466 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (sqrt (- (* (+ beta alpha) (+ beta alpha)) 4))) (sqrt (sqrt (+ alpha (+ 2 beta)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (sqrt (- (* (+ beta alpha) (+ beta alpha)) 4))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (- beta (- 2 alpha))) (sqrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (* alpha beta) (+ (+ 1.0 alpha) beta))) (sqrt (- (* (+ beta alpha) (+ beta alpha)) 4))) (sqrt (sqrt (+ alpha (+ 2 beta))))) (/ (sqrt (- beta (- 2 alpha))) (sqrt (sqrt (+ 2 (+ beta alpha)))))))))
* * * * [misc]progress:  [ 362 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) 1) (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (228 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (sqrt (+ -4 (* (+ beta alpha) (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (sqrt (+ -4 (* (+ beta alpha) (+ beta alpha))))) (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* [enter]simplify:  Simplifying (/ (sqrt (- (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ beta (+ alpha -2))) (sqrt (+ 2 (+ beta alpha))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (sqrt (+ -4 (* (+ beta alpha) (+ beta alpha))))) (/ (sqrt (+ beta (+ alpha -2))) (sqrt (+ 2 (+ beta alpha))))))))
* * * * [misc]progress:  [ 363 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* 1 (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* * * * [misc]progress:  [ 364 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ 1 (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* * * * [misc]progress:  [ 365 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ 1 (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* * * * [misc]progress:  [ 366 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (cbrt (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 (cbrt (sqrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (cbrt (sqrt (+ alpha (+ beta 2))))))))
* * * * [misc]progress:  [ 367 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (sqrt (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 (sqrt (cbrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (sqrt (cbrt (+ alpha (+ beta 2))))))))
* * * * [misc]progress:  [ 368 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (sqrt (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 (sqrt (sqrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ alpha (+ beta 2))))))))
* * * * [misc]progress:  [ 369 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt 1)) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [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 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt 1)) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 370 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (sqrt (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 (sqrt (sqrt (+ alpha (+ beta 2))))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (sqrt (+ alpha (+ beta 2))))))))
* * * * [misc]progress:  [ 371 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [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 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ 2 (+ beta alpha)))))))
* * * * [misc]progress:  [ 372 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 2) alpha)))) (cbrt (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (cbrt (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 2) alpha)))) (cbrt (/ (sqrt (+ (* alpha beta) (+ (+ beta 1.0) alpha))) (sqrt (+ (+ beta 2) alpha))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (cbrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 373 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (sqrt (/ (sqrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))) (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 374 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (cbrt (sqrt (+ beta (+ alpha 2))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (cbrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (cbrt (sqrt (+ beta (+ alpha 2))))) (/ (cbrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (cbrt (sqrt (+ beta (+ alpha 2)))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 375 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (93 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (/ (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (fabs (cbrt (+ (+ beta 2) alpha)))) (cbrt (sqrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 376 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 377 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))) (cbrt (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* * * * [misc]progress:  [ 378 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (110 enodes)
* * [misc]simplify:  iters left: 1 (122 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (/ (sqrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 379 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 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 (97 enodes)
* * [misc]simplify:  iters left: 2 (142 enodes)
* * [misc]simplify:  iters left: 1 (154 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (cbrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (* (cbrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha))))) (cbrt (sqrt (+ (* alpha beta) (+ 1.0 (+ beta alpha)))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (cbrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* * * * [misc]progress:  [ 380 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 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 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (fabs (cbrt (+ (+ beta (* alpha beta)) (+ 1.0 alpha)))) (* (cbrt (sqrt (+ (+ beta 2) alpha))) (cbrt (sqrt (+ (+ beta 2) alpha))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 381 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 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 (90 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (fabs (cbrt (+ beta (+ alpha 2)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (fabs (cbrt (+ beta (+ alpha 2))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 382 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (87 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 383 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt 1)) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 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 (77 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (fabs (cbrt (+ (* alpha beta) (+ beta (+ 1.0 alpha))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* * * * [misc]progress:  [ 384 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (sqrt (sqrt (+ (+ alpha beta) (* 2 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 (87 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (fabs (cbrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (sqrt (sqrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 385 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (100 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (fabs (cbrt (+ (+ (* alpha beta) beta) (+ 1.0 alpha)))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* * * * [misc]progress:  [ 386 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [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 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 387 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 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 (87 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (fabs (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 388 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 389 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 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 (77 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* * * * [misc]progress:  [ 390 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 391 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* * * * [misc]progress:  [ 392 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ 1 (cbrt (sqrt (+ 2 (+ beta alpha))))) (cbrt (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 393 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (12 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 (fabs (cbrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (fabs (cbrt (+ beta (+ 2 alpha))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 394 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 395 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [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 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ 1 (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* * * * [misc]progress:  [ 396 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt 1) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (sqrt (sqrt (+ beta (+ 2 alpha))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 397 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt 1) 1) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [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 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ 1 (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* * * * [misc]progress:  [ 398 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))
* * [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 (88 enodes)
* * [misc]simplify:  iters left: 2 (107 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (+ alpha (* alpha beta)) (+ beta 1.0)))) (* (cbrt (sqrt (+ (+ 2 beta) alpha))) (cbrt (sqrt (+ (+ 2 beta) alpha))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 399 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 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 (87 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (fabs (cbrt (+ (+ alpha 2) beta))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (fabs (cbrt (+ (+ alpha 2) beta)))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 400 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 401 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 1)) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt 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 (77 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* * * * [misc]progress:  [ 402 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (104 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (+ beta 1.0) (+ (* alpha beta) alpha)))) (sqrt (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 403 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (sqrt (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* * * * [misc]progress:  [ 404 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (sqrt (+ (+ 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 (sqrt (+ (+ alpha beta) 2)))) (cbrt (sqrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (/ 1 (cbrt (sqrt (+ (+ alpha beta) 2)))) (cbrt (sqrt (+ (+ alpha beta) 2)))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 405 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))
* * [misc]simplify:  iters left: 6 (11 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 (fabs (cbrt (+ (+ alpha beta) 2))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (fabs (cbrt (+ (+ alpha beta) 2)))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (cbrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 406 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (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 (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 407 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (sqrt 1)) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [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 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ 1 (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* * * * [misc]progress:  [ 408 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (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 (sqrt (+ (+ beta 2) alpha))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (sqrt (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (sqrt (+ (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 409 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 1) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ 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 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ 1 (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* * * * [misc]progress:  [ 410 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ 1 (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* * * * [misc]progress:  [ 411 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))))))))>
* [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 (39 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))))))))
* * * * [misc]progress:  [ 412 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (390 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (sqrt (+ 8 (pow (+ beta alpha) 3))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (* alpha beta) 1.0) (+ beta alpha))) (sqrt (+ 8 (pow (+ beta alpha) 3)))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))))))))
* * * * [misc]progress:  [ 413 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (- (+ alpha beta) (* 2 1))))))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (222 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (+ (* (+ beta alpha) (+ beta alpha)) -4)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (* alpha beta) (+ beta 1.0)) alpha)) (sqrt (+ (* (+ beta alpha) (+ beta alpha)) -4))) (/ (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (- (+ alpha beta) (* 2 1))))))))
* * * * [misc]progress:  [ 414 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))))))))>
* [enter]simplify:  Simplifying (sqrt (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (254 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* (+ beta alpha) (+ -2 (+ beta alpha))) 4))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3)))) (sqrt (+ (* (+ beta alpha) (+ -2 (+ beta alpha))) 4))))))
* * * * [misc]progress:  [ 415 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt (- (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (sqrt (- (+ alpha beta) (* 2 1)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (28 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ -2 alpha) beta))
* [misc]simplify:  Simplified (2 2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (* (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1))))) (sqrt (+ (+ -2 alpha) beta))))))
* * * * [misc]progress:  [ 416 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0)))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (sqrt (+ (+ (* alpha beta) alpha) (+ beta 1.0))) (* (sqrt (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))))))
* * * * [misc]progress:  [ 417 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (+ (sqrt 1.0) (+ (* 1/2 (* (sqrt 1.0) beta)) (* 1/2 (/ alpha (sqrt 1.0))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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 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 (24 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (+ (* (sqrt 1.0) (* 1/2 beta)) (+ (sqrt 1.0) (/ (* alpha 1/2) (sqrt 1.0))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ (+ (* (sqrt 1.0) (* 1/2 beta)) (+ (sqrt 1.0) (/ (* alpha 1/2) (sqrt 1.0)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 418 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha)))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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 (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ +nan.0 (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 419 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha)))))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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 (- (+ (* +nan.0 (/ alpha beta)) (- (+ +nan.0 (- (* +nan.0 alpha))))))
* [misc]simplify:  Simplified (2 1 1) to (λ (alpha beta) (/ (/ +nan.0 (+ (+ alpha 2) beta)) (/ (+ (+ (+ 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:  [ 420 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (sqrt 1.0) (+ (* 1/2 (/ beta (sqrt 1.0))) (* 1/2 (* (sqrt 1.0) alpha)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [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 (24 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (+ (/ (* 1/2 beta) (sqrt 1.0)) (+ (* (sqrt 1.0) (* alpha 1/2)) (sqrt 1.0)))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (/ (* 1/2 beta) (sqrt 1.0)) (+ (* (sqrt 1.0) (* alpha 1/2)) (sqrt 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 421 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (/ beta alpha)) (- +nan.0))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (/ beta alpha)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ +nan.0 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 422 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (/ beta alpha)) (- +nan.0))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (/ beta alpha)) (- +nan.0)))))
* [misc]simplify:  Simplified (2 2 2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ +nan.0 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 423 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (- (+ (sqrt 0.5) (+ (* 0.125 (/ beta (sqrt 0.5))) (* 1/2 (* (sqrt 0.5) alpha)))) (* 1/2 (* (sqrt 0.125) alpha))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (- (+ (sqrt 0.5) (+ (* 0.125 (/ beta (sqrt 0.5))) (* 1/2 (* (sqrt 0.5) alpha)))) (* 1/2 (* (sqrt 0.125) alpha)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (153 enodes)
* * [misc]simplify:  iters left: 2 (208 enodes)
* * [misc]simplify:  iters left: 1 (263 enodes)
* [exit]simplify:  Simplified to (+ (* (- (sqrt 0.5) (sqrt 0.125)) (* alpha 1/2)) (+ (sqrt 0.5) (/ (* 0.125 beta) (sqrt 0.5))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (+ (* (- (sqrt 0.5) (sqrt 0.125)) (* alpha 1/2)) (+ (sqrt 0.5) (/ (* 0.125 beta) (sqrt 0.5)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 424 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ +nan.0 (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 425 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))) (sqrt (+ (+ alpha beta) (* 2 1)))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0)))))
* [misc]simplify:  Simplified (2 2 2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ +nan.0 (sqrt (+ (+ alpha beta) (* 2 1)))))))
* * * * [misc]progress:  [ 426 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (- (+ (* 1/2 (sqrt 1.0)) (* 1/4 (/ beta (sqrt 1.0)))) (+ (* 1/16 (* (sqrt 1.0) (pow alpha 2))) (* 1/4 (* (sqrt 1.0) beta)))))))>
* [enter]simplify:  Simplifying (- (+ (* 1/2 (sqrt 1.0)) (* 1/4 (/ beta (sqrt 1.0)))) (+ (* 1/16 (* (sqrt 1.0) (pow alpha 2))) (* 1/4 (* (sqrt 1.0) beta))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (194 enodes)
* * [misc]simplify:  iters left: 2 (383 enodes)
* [exit]simplify:  Simplified to (+ (/ (* 1/4 beta) (sqrt 1.0)) (* (sqrt 1.0) (- (- 1/2 (* 1/4 beta)) (* alpha (* 1/16 alpha)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (/ (* 1/4 beta) (sqrt 1.0)) (* (sqrt 1.0) (- (- 1/2 (* 1/4 beta)) (* alpha (* 1/16 alpha))))))))
* * * * [misc]progress:  [ 427 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) +nan.0)))
* * * * [misc]progress:  [ 428 / 428 ] simplifiying candidate #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 (pow alpha 2))) (- +nan.0)))))
* [misc]simplify:  Simplified (2 2 2) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) +nan.0)))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime:  Finding splitpoints for: (#<alt (λ (alpha beta) (/ (/ (+ 0.5 (* 0.25 (+ alpha beta))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))> #<alt (λ (alpha beta) (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (/ (+ (+ alpha beta) (+ (* 2 1) 1.0)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))> #<alt (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2))) (sqrt (+ (+ alpha beta) (+ 2 1.0))))))> #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))> #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))> #<alt (λ (alpha beta) 0)> #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))> #<alt (λ (alpha beta) (/ (/ (* (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta)))) (/ (+ (+ alpha beta) (* 2 1)) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ 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) (/ (/ (+ 0.5 (* 0.25 (+ alpha beta))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))> #<alt (λ (alpha beta) (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (/ (+ (+ alpha beta) (+ (* 2 1) 1.0)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))> #<alt (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2))) (sqrt (+ (+ alpha beta) (+ 2 1.0))))))> #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))> #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))> #<alt (λ (alpha beta) 0)> #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))> #<alt (λ (alpha beta) (/ (/ (* (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta)))) (/ (+ (+ alpha beta) (* 2 1)) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>)
* * * * [misc]regimes:  Trying to branch on alpha from (#<alt (λ (alpha beta) (/ (/ (+ 0.5 (* 0.25 (+ alpha beta))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))> #<alt (λ (alpha beta) (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (/ (+ (+ alpha beta) (+ (* 2 1) 1.0)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))> #<alt (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2))) (sqrt (+ (+ alpha beta) (+ 2 1.0))))))> #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))> #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))> #<alt (λ (alpha beta) 0)> #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))> #<alt (λ (alpha beta) (/ (/ (* (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta)))) (/ (+ (+ alpha beta) (* 2 1)) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>)
* * * [misc]regime:  Found split indices: #<option (#s(si 4 227) #s(si 5 256))>
* [misc]binary-search:  Improving bounds with binary search for beta and (#<alt (λ (alpha beta) (/ (/ (+ 0.5 (* 0.25 (+ alpha beta))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))> #<alt (λ (alpha beta) (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (/ (+ (+ alpha beta) (+ (* 2 1) 1.0)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))> #<alt (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2))) (sqrt (+ (+ alpha beta) (+ 2 1.0))))))> #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))> #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))> #<alt (λ (alpha beta) 0)> #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))> #<alt (λ (alpha beta) (/ (/ (* (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta)))) (/ (+ (+ alpha beta) (* 2 1)) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ 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 1.6487799210668283e+193) #s(sp 5 beta +nan.0)) , with alts (#<alt (λ (alpha beta) (/ (/ (+ 0.5 (* 0.25 (+ alpha beta))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))> #<alt (λ (alpha beta) (/ (sqrt (+ (* alpha beta) (+ alpha (+ beta 1.0)))) (/ (+ (+ alpha beta) (+ (* 2 1) 1.0)) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))> #<alt (λ (alpha beta) (* (/ (/ (+ (* alpha beta) (+ 1.0 (+ beta alpha))) (sqrt (+ (+ alpha 2) (+ beta 1.0)))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) 2))) (sqrt (+ (+ alpha beta) (+ 2 1.0))))))> #<alt (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))> #<alt (λ (alpha beta) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (+ (* 2 1) 1.0))))> #<alt (λ (alpha beta) 0)> #<alt (λ (alpha beta) (/ (/ (sqrt (+ (+ beta 1.0) (+ alpha (* alpha beta)))) (+ (+ alpha 2) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))))> #<alt (λ (alpha beta) (/ (/ (* (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta))) (cbrt (/ (+ (* alpha beta) (+ (+ beta 1.0) alpha)) (+ (+ alpha 2) beta)))) (/ (+ (+ alpha beta) (* 2 1)) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))>)
* [enter]simplify:  Simplifying (if (<= beta 1.6487799210668283e+193) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ 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 1.6487799210668283e+193) (/ (/ (/ (+ 1.0 (+ (* alpha beta) (+ alpha beta))) (+ (+ alpha beta) 2)) (+ (+ alpha beta) 2)) (+ (+ alpha beta) (+ 2 1.0))) 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:  Setting MPFR precision to 576
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8000 points with exact outputs